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Finding the Third Proportional to 229,428 and 341,658

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Solution

The third proportional to 229,428 and 341,658 is: 508,787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,428 : 341,658 = 341,658 : x
  2. Step 2: Convert to fraction form
    229,428/341,658 = 341,658/x
  3. Step 3: Cross multiply
    229,428x = 341,658 × 341,658
  4. Step 4: Simplify right side
    229,428x = 116,730,188,964
  5. Step 5: Solve for x
    x = 116,730,188,964/229,428
  6. Step 6: Final answer
    x = 508,787.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.