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Finding the Third Proportional to 229,050 and 346,085

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Solution

The third proportional to 229,050 and 346,085 is: 522,920.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,050 : 346,085 = 346,085 : x
  2. Step 2: Convert to fraction form
    229,050/346,085 = 346,085/x
  3. Step 3: Cross multiply
    229,050x = 346,085 × 346,085
  4. Step 4: Simplify right side
    229,050x = 119,774,827,225
  5. Step 5: Solve for x
    x = 119,774,827,225/229,050
  6. Step 6: Final answer
    x = 522,920.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.