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Finding the Third Proportional to 157,214 and 241,602

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Solution

The third proportional to 157,214 and 241,602 is: 371,287.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,214 : 241,602 = 241,602 : x
  2. Step 2: Convert to fraction form
    157,214/241,602 = 241,602/x
  3. Step 3: Cross multiply
    157,214x = 241,602 × 241,602
  4. Step 4: Simplify right side
    157,214x = 58,371,526,404
  5. Step 5: Solve for x
    x = 58,371,526,404/157,214
  6. Step 6: Final answer
    x = 371,287.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.