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Finding the Third Proportional to 229,455 and 337,428

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Solution

The third proportional to 229,455 and 337,428 is: 496,209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,455 : 337,428 = 337,428 : x
  2. Step 2: Convert to fraction form
    229,455/337,428 = 337,428/x
  3. Step 3: Cross multiply
    229,455x = 337,428 × 337,428
  4. Step 4: Simplify right side
    229,455x = 113,857,655,184
  5. Step 5: Solve for x
    x = 113,857,655,184/229,455
  6. Step 6: Final answer
    x = 496,209.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.