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Finding the Third Proportional to 155,046.50 and 334,877

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Solution

The third proportional to 155,046.50 and 334,877 is: 723,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,046.50 : 334,877 = 334,877 : x
  2. Step 2: Convert to fraction form
    155,046.50/334,877 = 334,877/x
  3. Step 3: Cross multiply
    155,046.50x = 334,877 × 334,877
  4. Step 4: Simplify right side
    155,046.50x = 112,142,605,129
  5. Step 5: Solve for x
    x = 112,142,605,129/155,046.50
  6. Step 6: Final answer
    x = 723,283.69

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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.