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Finding the Third Proportional to 110,701.69 and 237,151.13

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Solution

The third proportional to 110,701.69 and 237,151.13 is: 508,037.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,701.69 : 237,151.13 = 237,151.13 : x
  2. Step 2: Convert to fraction form
    110,701.69/237,151.13 = 237,151.13/x
  3. Step 3: Cross multiply
    110,701.69x = 237,151.13 × 237,151.13
  4. Step 4: Simplify right side
    110,701.69x = 56,240,656,088.77
  5. Step 5: Solve for x
    x = 56,240,656,088.77/110,701.69
  6. Step 6: Final answer
    x = 508,037.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.