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Finding the Third Proportional to 150,350 and 349,618

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Solution

The third proportional to 150,350 and 349,618 is: 812,988.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,350 : 349,618 = 349,618 : x
  2. Step 2: Convert to fraction form
    150,350/349,618 = 349,618/x
  3. Step 3: Cross multiply
    150,350x = 349,618 × 349,618
  4. Step 4: Simplify right side
    150,350x = 122,232,745,924
  5. Step 5: Solve for x
    x = 122,232,745,924/150,350
  6. Step 6: Final answer
    x = 812,988.00

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.