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Finding the Third Proportional to 158,704 and 215,297

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Solution

The third proportional to 158,704 and 215,297 is: 292,070.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,704 : 215,297 = 215,297 : x
  2. Step 2: Convert to fraction form
    158,704/215,297 = 215,297/x
  3. Step 3: Cross multiply
    158,704x = 215,297 × 215,297
  4. Step 4: Simplify right side
    158,704x = 46,352,798,209
  5. Step 5: Solve for x
    x = 46,352,798,209/158,704
  6. Step 6: Final answer
    x = 292,070.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.