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Finding the Third Proportional to 170,034 and 264,501

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Solution

The third proportional to 170,034 and 264,501 is: 411,451.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,034 : 264,501 = 264,501 : x
  2. Step 2: Convert to fraction form
    170,034/264,501 = 264,501/x
  3. Step 3: Cross multiply
    170,034x = 264,501 × 264,501
  4. Step 4: Simplify right side
    170,034x = 69,960,779,001
  5. Step 5: Solve for x
    x = 69,960,779,001/170,034
  6. Step 6: Final answer
    x = 411,451.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.