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Finding the Third Proportional to 132,796 and 287,718.50

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Solution

The third proportional to 132,796 and 287,718.50 is: 623,376.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,796 : 287,718.50 = 287,718.50 : x
  2. Step 2: Convert to fraction form
    132,796/287,718.50 = 287,718.50/x
  3. Step 3: Cross multiply
    132,796x = 287,718.50 × 287,718.50
  4. Step 4: Simplify right side
    132,796x = 82,781,935,242.25
  5. Step 5: Solve for x
    x = 82,781,935,242.25/132,796
  6. Step 6: Final answer
    x = 623,376.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.