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Finding the Third Proportional to 116,867.81 and 255,981.52

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Solution

The third proportional to 116,867.81 and 255,981.52 is: 560,689.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,867.81 : 255,981.52 = 255,981.52 : x
  2. Step 2: Convert to fraction form
    116,867.81/255,981.52 = 255,981.52/x
  3. Step 3: Cross multiply
    116,867.81x = 255,981.52 × 255,981.52
  4. Step 4: Simplify right side
    116,867.81x = 65,526,536,341.67
  5. Step 5: Solve for x
    x = 65,526,536,341.67/116,867.81
  6. Step 6: Final answer
    x = 560,689.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.