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Finding the Third Proportional to 130,974.75 and 286,468.88

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Solution

The third proportional to 130,974.75 and 286,468.88 is: 626,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,974.75 : 286,468.88 = 286,468.88 : x
  2. Step 2: Convert to fraction form
    130,974.75/286,468.88 = 286,468.88/x
  3. Step 3: Cross multiply
    130,974.75x = 286,468.88 × 286,468.88
  4. Step 4: Simplify right side
    130,974.75x = 82,064,416,343.77
  5. Step 5: Solve for x
    x = 82,064,416,343.77/130,974.75
  6. Step 6: Final answer
    x = 626,566.70

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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.