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Finding the Third Proportional to 210,035 and 334,047

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Solution

The third proportional to 210,035 and 334,047 is: 531,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,035 : 334,047 = 334,047 : x
  2. Step 2: Convert to fraction form
    210,035/334,047 = 334,047/x
  3. Step 3: Cross multiply
    210,035x = 334,047 × 334,047
  4. Step 4: Simplify right side
    210,035x = 111,587,398,209
  5. Step 5: Solve for x
    x = 111,587,398,209/210,035
  6. Step 6: Final answer
    x = 531,280.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.