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Finding the Third Proportional to 142,079.25 and 310,915.50

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Solution

The third proportional to 142,079.25 and 310,915.50 is: 680,384.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,079.25 : 310,915.50 = 310,915.50 : x
  2. Step 2: Convert to fraction form
    142,079.25/310,915.50 = 310,915.50/x
  3. Step 3: Cross multiply
    142,079.25x = 310,915.50 × 310,915.50
  4. Step 4: Simplify right side
    142,079.25x = 96,668,448,140.25
  5. Step 5: Solve for x
    x = 96,668,448,140.25/142,079.25
  6. Step 6: Final answer
    x = 680,384.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.