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Finding the Third Proportional to 118,618 and 260,564

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Solution

The third proportional to 118,618 and 260,564 is: 572,371.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,618 : 260,564 = 260,564 : x
  2. Step 2: Convert to fraction form
    118,618/260,564 = 260,564/x
  3. Step 3: Cross multiply
    118,618x = 260,564 × 260,564
  4. Step 4: Simplify right side
    118,618x = 67,893,598,096
  5. Step 5: Solve for x
    x = 67,893,598,096/118,618
  6. Step 6: Final answer
    x = 572,371.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.