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Finding the Third Proportional to 112,088.81 and 242,493.75

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Solution

The third proportional to 112,088.81 and 242,493.75 is: 524,612.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,088.81 : 242,493.75 = 242,493.75 : x
  2. Step 2: Convert to fraction form
    112,088.81/242,493.75 = 242,493.75/x
  3. Step 3: Cross multiply
    112,088.81x = 242,493.75 × 242,493.75
  4. Step 4: Simplify right side
    112,088.81x = 58,803,218,789.06
  5. Step 5: Solve for x
    x = 58,803,218,789.06/112,088.81
  6. Step 6: Final answer
    x = 524,612.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.