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Finding the Third Proportional to 130,631.06 and 201,892.50

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Solution

The third proportional to 130,631.06 and 201,892.50 is: 312,028.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,631.06 : 201,892.50 = 201,892.50 : x
  2. Step 2: Convert to fraction form
    130,631.06/201,892.50 = 201,892.50/x
  3. Step 3: Cross multiply
    130,631.06x = 201,892.50 × 201,892.50
  4. Step 4: Simplify right side
    130,631.06x = 40,760,581,556.25
  5. Step 5: Solve for x
    x = 40,760,581,556.25/130,631.06
  6. Step 6: Final answer
    x = 312,028.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.