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Finding the Third Proportional to 158,880 and 253,126.50

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Solution

The third proportional to 158,880 and 253,126.50 is: 403,279.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,880 : 253,126.50 = 253,126.50 : x
  2. Step 2: Convert to fraction form
    158,880/253,126.50 = 253,126.50/x
  3. Step 3: Cross multiply
    158,880x = 253,126.50 × 253,126.50
  4. Step 4: Simplify right side
    158,880x = 64,073,025,002.25
  5. Step 5: Solve for x
    x = 64,073,025,002.25/158,880
  6. Step 6: Final answer
    x = 403,279.36

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.