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Finding the Third Proportional to 132,255 and 201,490.88

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Solution

The third proportional to 132,255 and 201,490.88 is: 306,971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,255 : 201,490.88 = 201,490.88 : x
  2. Step 2: Convert to fraction form
    132,255/201,490.88 = 201,490.88/x
  3. Step 3: Cross multiply
    132,255x = 201,490.88 × 201,490.88
  4. Step 4: Simplify right side
    132,255x = 40,598,572,708.27
  5. Step 5: Solve for x
    x = 40,598,572,708.27/132,255
  6. Step 6: Final answer
    x = 306,971.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.