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Finding the Third Proportional to 150,646.50 and 233,263.13

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Solution

The third proportional to 150,646.50 and 233,263.13 is: 361,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,646.50 : 233,263.13 = 233,263.13 : x
  2. Step 2: Convert to fraction form
    150,646.50/233,263.13 = 233,263.13/x
  3. Step 3: Cross multiply
    150,646.50x = 233,263.13 × 233,263.13
  4. Step 4: Simplify right side
    150,646.50x = 54,411,685,484.77
  5. Step 5: Solve for x
    x = 54,411,685,484.77/150,646.50
  6. Step 6: Final answer
    x = 361,187.85

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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.