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Finding the Third Proportional to 155,538 and 340,291.50

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Solution

The third proportional to 155,538 and 340,291.50 is: 744,501.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,538 : 340,291.50 = 340,291.50 : x
  2. Step 2: Convert to fraction form
    155,538/340,291.50 = 340,291.50/x
  3. Step 3: Cross multiply
    155,538x = 340,291.50 × 340,291.50
  4. Step 4: Simplify right side
    155,538x = 115,798,304,972.25
  5. Step 5: Solve for x
    x = 115,798,304,972.25/155,538
  6. Step 6: Final answer
    x = 744,501.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.