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Finding the Third Proportional to 119,657 and 261,046

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Solution

The third proportional to 119,657 and 261,046 is: 569,502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,657 : 261,046 = 261,046 : x
  2. Step 2: Convert to fraction form
    119,657/261,046 = 261,046/x
  3. Step 3: Cross multiply
    119,657x = 261,046 × 261,046
  4. Step 4: Simplify right side
    119,657x = 68,145,014,116
  5. Step 5: Solve for x
    x = 68,145,014,116/119,657
  6. Step 6: Final answer
    x = 569,502.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.