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Finding the Third Proportional to 130,664.25 and 282,712.50

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Solution

The third proportional to 130,664.25 and 282,712.50 is: 611,692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,664.25 : 282,712.50 = 282,712.50 : x
  2. Step 2: Convert to fraction form
    130,664.25/282,712.50 = 282,712.50/x
  3. Step 3: Cross multiply
    130,664.25x = 282,712.50 × 282,712.50
  4. Step 4: Simplify right side
    130,664.25x = 79,926,357,656.25
  5. Step 5: Solve for x
    x = 79,926,357,656.25/130,664.25
  6. Step 6: Final answer
    x = 611,692.62

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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.