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Finding the Third Proportional to 229,431.75 and 429,235.50

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Solution

The third proportional to 229,431.75 and 429,235.50 is: 803,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,431.75 : 429,235.50 = 429,235.50 : x
  2. Step 2: Convert to fraction form
    229,431.75/429,235.50 = 429,235.50/x
  3. Step 3: Cross multiply
    229,431.75x = 429,235.50 × 429,235.50
  4. Step 4: Simplify right side
    229,431.75x = 184,243,114,460.25
  5. Step 5: Solve for x
    x = 184,243,114,460.25/229,431.75
  6. Step 6: Final answer
    x = 803,041.05

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.