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Finding the Third Proportional to 158,882 and 253,130

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Solution

The third proportional to 158,882 and 253,130 is: 403,285.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,882 : 253,130 = 253,130 : x
  2. Step 2: Convert to fraction form
    158,882/253,130 = 253,130/x
  3. Step 3: Cross multiply
    158,882x = 253,130 × 253,130
  4. Step 4: Simplify right side
    158,882x = 64,074,796,900
  5. Step 5: Solve for x
    x = 64,074,796,900/158,882
  6. Step 6: Final answer
    x = 403,285.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.