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Finding the Third Proportional to 128,250 and 282,778.50

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Solution

The third proportional to 128,250 and 282,778.50 is: 623,498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,250 : 282,778.50 = 282,778.50 : x
  2. Step 2: Convert to fraction form
    128,250/282,778.50 = 282,778.50/x
  3. Step 3: Cross multiply
    128,250x = 282,778.50 × 282,778.50
  4. Step 4: Simplify right side
    128,250x = 79,963,680,062.25
  5. Step 5: Solve for x
    x = 79,963,680,062.25/128,250
  6. Step 6: Final answer
    x = 623,498.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.