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Finding the Third Proportional to 154,017 and 337,428

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Solution

The third proportional to 154,017 and 337,428 is: 739,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,017 : 337,428 = 337,428 : x
  2. Step 2: Convert to fraction form
    154,017/337,428 = 337,428/x
  3. Step 3: Cross multiply
    154,017x = 337,428 × 337,428
  4. Step 4: Simplify right side
    154,017x = 113,857,655,184
  5. Step 5: Solve for x
    x = 113,857,655,184/154,017
  6. Step 6: Final answer
    x = 739,253.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.