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Finding the Third Proportional to 207,330 and 293,618

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Solution

The third proportional to 207,330 and 293,618 is: 415,817.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,330 : 293,618 = 293,618 : x
  2. Step 2: Convert to fraction form
    207,330/293,618 = 293,618/x
  3. Step 3: Cross multiply
    207,330x = 293,618 × 293,618
  4. Step 4: Simplify right side
    207,330x = 86,211,529,924
  5. Step 5: Solve for x
    x = 86,211,529,924/207,330
  6. Step 6: Final answer
    x = 415,817.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.