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Finding the Third Proportional to 170,902 and 373,967

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Solution

The third proportional to 170,902 and 373,967 is: 818,312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,902 : 373,967 = 373,967 : x
  2. Step 2: Convert to fraction form
    170,902/373,967 = 373,967/x
  3. Step 3: Cross multiply
    170,902x = 373,967 × 373,967
  4. Step 4: Simplify right side
    170,902x = 139,851,317,089
  5. Step 5: Solve for x
    x = 139,851,317,089/170,902
  6. Step 6: Final answer
    x = 818,312.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.