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Finding the Third Proportional to 160,952 and 346,448

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Solution

The third proportional to 160,952 and 346,448 is: 745,726.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,952 : 346,448 = 346,448 : x
  2. Step 2: Convert to fraction form
    160,952/346,448 = 346,448/x
  3. Step 3: Cross multiply
    160,952x = 346,448 × 346,448
  4. Step 4: Simplify right side
    160,952x = 120,026,216,704
  5. Step 5: Solve for x
    x = 120,026,216,704/160,952
  6. Step 6: Final answer
    x = 745,726.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.