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Finding the Third Proportional to 151,464 and 318,597

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Solution

The third proportional to 151,464 and 318,597 is: 670,152.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,464 : 318,597 = 318,597 : x
  2. Step 2: Convert to fraction form
    151,464/318,597 = 318,597/x
  3. Step 3: Cross multiply
    151,464x = 318,597 × 318,597
  4. Step 4: Simplify right side
    151,464x = 101,504,048,409
  5. Step 5: Solve for x
    x = 101,504,048,409/151,464
  6. Step 6: Final answer
    x = 670,152.96

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.