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Finding the Third Proportional to 190,314.56 and 413,434.13

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Solution

The third proportional to 190,314.56 and 413,434.13 is: 898,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,314.56 : 413,434.13 = 413,434.13 : x
  2. Step 2: Convert to fraction form
    190,314.56/413,434.13 = 413,434.13/x
  3. Step 3: Cross multiply
    190,314.56x = 413,434.13 × 413,434.13
  4. Step 4: Simplify right side
    190,314.56x = 170,927,775,714.52
  5. Step 5: Solve for x
    x = 170,927,775,714.52/190,314.56
  6. Step 6: Final answer
    x = 898,132.93

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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.