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Finding the Third Proportional to 229,038.75 and 356,646.75

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Solution

The third proportional to 229,038.75 and 356,646.75 is: 555,351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,038.75 : 356,646.75 = 356,646.75 : x
  2. Step 2: Convert to fraction form
    229,038.75/356,646.75 = 356,646.75/x
  3. Step 3: Cross multiply
    229,038.75x = 356,646.75 × 356,646.75
  4. Step 4: Simplify right side
    229,038.75x = 127,196,904,285.56
  5. Step 5: Solve for x
    x = 127,196,904,285.56/229,038.75
  6. Step 6: Final answer
    x = 555,351.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.