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Finding the Third Proportional to 119,850 and 260,618

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Solution

The third proportional to 119,850 and 260,618 is: 566,722.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,850 : 260,618 = 260,618 : x
  2. Step 2: Convert to fraction form
    119,850/260,618 = 260,618/x
  3. Step 3: Cross multiply
    119,850x = 260,618 × 260,618
  4. Step 4: Simplify right side
    119,850x = 67,921,741,924
  5. Step 5: Solve for x
    x = 67,921,741,924/119,850
  6. Step 6: Final answer
    x = 566,722.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.