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Finding the Third Proportional to 132,521.91 and 312,800.06

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Solution

The third proportional to 132,521.91 and 312,800.06 is: 738,322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,521.91 : 312,800.06 = 312,800.06 : x
  2. Step 2: Convert to fraction form
    132,521.91/312,800.06 = 312,800.06/x
  3. Step 3: Cross multiply
    132,521.91x = 312,800.06 × 312,800.06
  4. Step 4: Simplify right side
    132,521.91x = 97,843,879,100.00
  5. Step 5: Solve for x
    x = 97,843,879,100.00/132,521.91
  6. Step 6: Final answer
    x = 738,322.30

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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.