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Finding the Third Proportional to 157,588 and 340,436

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Solution

The third proportional to 157,588 and 340,436 is: 735,440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,588 : 340,436 = 340,436 : x
  2. Step 2: Convert to fraction form
    157,588/340,436 = 340,436/x
  3. Step 3: Cross multiply
    157,588x = 340,436 × 340,436
  4. Step 4: Simplify right side
    157,588x = 115,896,670,096
  5. Step 5: Solve for x
    x = 115,896,670,096/157,588
  6. Step 6: Final answer
    x = 735,440.96

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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.