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Finding the Third Proportional to 185,069.81 and 401,851.13

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Solution

The third proportional to 185,069.81 and 401,851.13 is: 872,558.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,069.81 : 401,851.13 = 401,851.13 : x
  2. Step 2: Convert to fraction form
    185,069.81/401,851.13 = 401,851.13/x
  3. Step 3: Cross multiply
    185,069.81x = 401,851.13 × 401,851.13
  4. Step 4: Simplify right side
    185,069.81x = 161,484,326,663.77
  5. Step 5: Solve for x
    x = 161,484,326,663.77/185,069.81
  6. Step 6: Final answer
    x = 872,558.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.