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Finding the Third Proportional to 132,729 and 286,570.50

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Solution

The third proportional to 132,729 and 286,570.50 is: 618,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,729 : 286,570.50 = 286,570.50 : x
  2. Step 2: Convert to fraction form
    132,729/286,570.50 = 286,570.50/x
  3. Step 3: Cross multiply
    132,729x = 286,570.50 × 286,570.50
  4. Step 4: Simplify right side
    132,729x = 82,122,651,470.25
  5. Step 5: Solve for x
    x = 82,122,651,470.25/132,729
  6. Step 6: Final answer
    x = 618,724.25

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Why These Related Problems?

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