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Finding the Third Proportional to 115,584 and 240,332

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Solution

The third proportional to 115,584 and 240,332 is: 499,718.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,584 : 240,332 = 240,332 : x
  2. Step 2: Convert to fraction form
    115,584/240,332 = 240,332/x
  3. Step 3: Cross multiply
    115,584x = 240,332 × 240,332
  4. Step 4: Simplify right side
    115,584x = 57,759,470,224
  5. Step 5: Solve for x
    x = 57,759,470,224/115,584
  6. Step 6: Final answer
    x = 499,718.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.