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Finding the Third Proportional to 157,952 and 372,870

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Solution

The third proportional to 157,952 and 372,870 is: 880,217.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,952 : 372,870 = 372,870 : x
  2. Step 2: Convert to fraction form
    157,952/372,870 = 372,870/x
  3. Step 3: Cross multiply
    157,952x = 372,870 × 372,870
  4. Step 4: Simplify right side
    157,952x = 139,032,036,900
  5. Step 5: Solve for x
    x = 139,032,036,900/157,952
  6. Step 6: Final answer
    x = 880,217.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.