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Finding the Third Proportional to 158,053 and 344,510

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Solution

The third proportional to 158,053 and 344,510 is: 750,932.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,053 : 344,510 = 344,510 : x
  2. Step 2: Convert to fraction form
    158,053/344,510 = 344,510/x
  3. Step 3: Cross multiply
    158,053x = 344,510 × 344,510
  4. Step 4: Simplify right side
    158,053x = 118,687,140,100
  5. Step 5: Solve for x
    x = 118,687,140,100/158,053
  6. Step 6: Final answer
    x = 750,932.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.