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Finding the Third Proportional to 229,209 and 350,402

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Solution

The third proportional to 229,209 and 350,402 is: 535,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,209 : 350,402 = 350,402 : x
  2. Step 2: Convert to fraction form
    229,209/350,402 = 350,402/x
  3. Step 3: Cross multiply
    229,209x = 350,402 × 350,402
  4. Step 4: Simplify right side
    229,209x = 122,781,561,604
  5. Step 5: Solve for x
    x = 122,781,561,604/229,209
  6. Step 6: Final answer
    x = 535,675.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.