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Finding the Third Proportional to 130,855.50 and 288,775.13

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Solution

The third proportional to 130,855.50 and 288,775.13 is: 637,276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,855.50 : 288,775.13 = 288,775.13 : x
  2. Step 2: Convert to fraction form
    130,855.50/288,775.13 = 288,775.13/x
  3. Step 3: Cross multiply
    130,855.50x = 288,775.13 × 288,775.13
  4. Step 4: Simplify right side
    130,855.50x = 83,391,072,818.77
  5. Step 5: Solve for x
    x = 83,391,072,818.77/130,855.50
  6. Step 6: Final answer
    x = 637,276.02

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.