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Finding the Third Proportional to 132,154 and 288,045.50

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Solution

The third proportional to 132,154 and 288,045.50 is: 627,829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,154 : 288,045.50 = 288,045.50 : x
  2. Step 2: Convert to fraction form
    132,154/288,045.50 = 288,045.50/x
  3. Step 3: Cross multiply
    132,154x = 288,045.50 × 288,045.50
  4. Step 4: Simplify right side
    132,154x = 82,970,210,070.25
  5. Step 5: Solve for x
    x = 82,970,210,070.25/132,154
  6. Step 6: Final answer
    x = 627,829.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.