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Finding the Third Proportional to 181,185.19 and 409,348.13

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Solution

The third proportional to 181,185.19 and 409,348.13 is: 924,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,185.19 : 409,348.13 = 409,348.13 : x
  2. Step 2: Convert to fraction form
    181,185.19/409,348.13 = 409,348.13/x
  3. Step 3: Cross multiply
    181,185.19x = 409,348.13 × 409,348.13
  4. Step 4: Simplify right side
    181,185.19x = 167,565,887,441.02
  5. Step 5: Solve for x
    x = 167,565,887,441.02/181,185.19
  6. Step 6: Final answer
    x = 924,832.16

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.