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Finding the Third Proportional to 105,076 and 233,479

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Solution

The third proportional to 105,076 and 233,479 is: 518,790.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,076 : 233,479 = 233,479 : x
  2. Step 2: Convert to fraction form
    105,076/233,479 = 233,479/x
  3. Step 3: Cross multiply
    105,076x = 233,479 × 233,479
  4. Step 4: Simplify right side
    105,076x = 54,512,443,441
  5. Step 5: Solve for x
    x = 54,512,443,441/105,076
  6. Step 6: Final answer
    x = 518,790.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.