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Finding the Third Proportional to 136,407 and 318,601.50

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Solution

The third proportional to 136,407 and 318,601.50 is: 744,147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,407 : 318,601.50 = 318,601.50 : x
  2. Step 2: Convert to fraction form
    136,407/318,601.50 = 318,601.50/x
  3. Step 3: Cross multiply
    136,407x = 318,601.50 × 318,601.50
  4. Step 4: Simplify right side
    136,407x = 101,506,915,802.25
  5. Step 5: Solve for x
    x = 101,506,915,802.25/136,407
  6. Step 6: Final answer
    x = 744,147.41

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.