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Finding the Third Proportional to 134,541 and 317,148.75

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Solution

The third proportional to 134,541 and 317,148.75 is: 747,603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,541 : 317,148.75 = 317,148.75 : x
  2. Step 2: Convert to fraction form
    134,541/317,148.75 = 317,148.75/x
  3. Step 3: Cross multiply
    134,541x = 317,148.75 × 317,148.75
  4. Step 4: Simplify right side
    134,541x = 100,583,329,626.56
  5. Step 5: Solve for x
    x = 100,583,329,626.56/134,541
  6. Step 6: Final answer
    x = 747,603.55

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.