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Finding the Third Proportional to 175,332 and 341,913

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Solution

The third proportional to 175,332 and 341,913 is: 666,760.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,332 : 341,913 = 341,913 : x
  2. Step 2: Convert to fraction form
    175,332/341,913 = 341,913/x
  3. Step 3: Cross multiply
    175,332x = 341,913 × 341,913
  4. Step 4: Simplify right side
    175,332x = 116,904,499,569
  5. Step 5: Solve for x
    x = 116,904,499,569/175,332
  6. Step 6: Final answer
    x = 666,760.77

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.