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Finding the Third Proportional to 157,948 and 372,862

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Solution

The third proportional to 157,948 and 372,862 is: 880,201.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,948 : 372,862 = 372,862 : x
  2. Step 2: Convert to fraction form
    157,948/372,862 = 372,862/x
  3. Step 3: Cross multiply
    157,948x = 372,862 × 372,862
  4. Step 4: Simplify right side
    157,948x = 139,026,071,044
  5. Step 5: Solve for x
    x = 139,026,071,044/157,948
  6. Step 6: Final answer
    x = 880,201.53

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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.