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Finding the Third Proportional to 186,448 and 279,618

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Solution

The third proportional to 186,448 and 279,618 is: 419,346.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,448 : 279,618 = 279,618 : x
  2. Step 2: Convert to fraction form
    186,448/279,618 = 279,618/x
  3. Step 3: Cross multiply
    186,448x = 279,618 × 279,618
  4. Step 4: Simplify right side
    186,448x = 78,186,225,924
  5. Step 5: Solve for x
    x = 78,186,225,924/186,448
  6. Step 6: Final answer
    x = 419,346.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.