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Finding the Third Proportional to 202,432 and 291,618

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Solution

The third proportional to 202,432 and 291,618 is: 420,096.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,432 : 291,618 = 291,618 : x
  2. Step 2: Convert to fraction form
    202,432/291,618 = 291,618/x
  3. Step 3: Cross multiply
    202,432x = 291,618 × 291,618
  4. Step 4: Simplify right side
    202,432x = 85,041,057,924
  5. Step 5: Solve for x
    x = 85,041,057,924/202,432
  6. Step 6: Final answer
    x = 420,096.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.