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Finding the Third Proportional to 157,825.50 and 341,070

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Solution

The third proportional to 157,825.50 and 341,070 is: 737,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,825.50 : 341,070 = 341,070 : x
  2. Step 2: Convert to fraction form
    157,825.50/341,070 = 341,070/x
  3. Step 3: Cross multiply
    157,825.50x = 341,070 × 341,070
  4. Step 4: Simplify right side
    157,825.50x = 116,328,744,900
  5. Step 5: Solve for x
    x = 116,328,744,900/157,825.50
  6. Step 6: Final answer
    x = 737,071.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.