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Finding the Third Proportional to 116,076 and 247,332

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Solution

The third proportional to 116,076 and 247,332 is: 527,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,076 : 247,332 = 247,332 : x
  2. Step 2: Convert to fraction form
    116,076/247,332 = 247,332/x
  3. Step 3: Cross multiply
    116,076x = 247,332 × 247,332
  4. Step 4: Simplify right side
    116,076x = 61,173,118,224
  5. Step 5: Solve for x
    x = 61,173,118,224/116,076
  6. Step 6: Final answer
    x = 527,009.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.