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Finding the Third Proportional to 132,929 and 199,490.50

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Solution

The third proportional to 132,929 and 199,490.50 is: 299,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,929 : 199,490.50 = 199,490.50 : x
  2. Step 2: Convert to fraction form
    132,929/199,490.50 = 199,490.50/x
  3. Step 3: Cross multiply
    132,929x = 199,490.50 × 199,490.50
  4. Step 4: Simplify right side
    132,929x = 39,796,459,590.25
  5. Step 5: Solve for x
    x = 39,796,459,590.25/132,929
  6. Step 6: Final answer
    x = 299,381.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.