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Finding the Third Proportional to 134,754 and 291,934.50

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Solution

The third proportional to 134,754 and 291,934.50 is: 632,454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,754 : 291,934.50 = 291,934.50 : x
  2. Step 2: Convert to fraction form
    134,754/291,934.50 = 291,934.50/x
  3. Step 3: Cross multiply
    134,754x = 291,934.50 × 291,934.50
  4. Step 4: Simplify right side
    134,754x = 85,225,752,290.25
  5. Step 5: Solve for x
    x = 85,225,752,290.25/134,754
  6. Step 6: Final answer
    x = 632,454.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.