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Finding the Third Proportional to 132,281 and 312,203.50

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Solution

The third proportional to 132,281 and 312,203.50 is: 736,848.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,281 : 312,203.50 = 312,203.50 : x
  2. Step 2: Convert to fraction form
    132,281/312,203.50 = 312,203.50/x
  3. Step 3: Cross multiply
    132,281x = 312,203.50 × 312,203.50
  4. Step 4: Simplify right side
    132,281x = 97,471,025,412.25
  5. Step 5: Solve for x
    x = 97,471,025,412.25/132,281
  6. Step 6: Final answer
    x = 736,848.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.