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Finding the Third Proportional to 132,471 and 286,069.50

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Solution

The third proportional to 132,471 and 286,069.50 is: 617,763.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,471 : 286,069.50 = 286,069.50 : x
  2. Step 2: Convert to fraction form
    132,471/286,069.50 = 286,069.50/x
  3. Step 3: Cross multiply
    132,471x = 286,069.50 × 286,069.50
  4. Step 4: Simplify right side
    132,471x = 81,835,758,830.25
  5. Step 5: Solve for x
    x = 81,835,758,830.25/132,471
  6. Step 6: Final answer
    x = 617,763.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.