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Finding the Third Proportional to 132,706.69 and 288,740.53

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Solution

The third proportional to 132,706.69 and 288,740.53 is: 628,235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,706.69 : 288,740.53 = 288,740.53 : x
  2. Step 2: Convert to fraction form
    132,706.69/288,740.53 = 288,740.53/x
  3. Step 3: Cross multiply
    132,706.69x = 288,740.53 × 288,740.53
  4. Step 4: Simplify right side
    132,706.69x = 83,371,094,386.53
  5. Step 5: Solve for x
    x = 83,371,094,386.53/132,706.69
  6. Step 6: Final answer
    x = 628,235.82

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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.