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Finding the Third Proportional to 151,948 and 235,887

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Solution

The third proportional to 151,948 and 235,887 is: 366,195.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,948 : 235,887 = 235,887 : x
  2. Step 2: Convert to fraction form
    151,948/235,887 = 235,887/x
  3. Step 3: Cross multiply
    151,948x = 235,887 × 235,887
  4. Step 4: Simplify right side
    151,948x = 55,642,676,769
  5. Step 5: Solve for x
    x = 55,642,676,769/151,948
  6. Step 6: Final answer
    x = 366,195.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.