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Finding the Third Proportional to 170,136 and 372,996

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Solution

The third proportional to 170,136 and 372,996 is: 817,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,136 : 372,996 = 372,996 : x
  2. Step 2: Convert to fraction form
    170,136/372,996 = 372,996/x
  3. Step 3: Cross multiply
    170,136x = 372,996 × 372,996
  4. Step 4: Simplify right side
    170,136x = 139,126,016,016
  5. Step 5: Solve for x
    x = 139,126,016,016/170,136
  6. Step 6: Final answer
    x = 817,734.14

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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.