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Finding the Third Proportional to 160,339 and 346,373

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Solution

The third proportional to 160,339 and 346,373 is: 748,253.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,339 : 346,373 = 346,373 : x
  2. Step 2: Convert to fraction form
    160,339/346,373 = 346,373/x
  3. Step 3: Cross multiply
    160,339x = 346,373 × 346,373
  4. Step 4: Simplify right side
    160,339x = 119,974,255,129
  5. Step 5: Solve for x
    x = 119,974,255,129/160,339
  6. Step 6: Final answer
    x = 748,253.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.