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Finding the Third Proportional to 197,445.09 and 426,411.84

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Solution

The third proportional to 197,445.09 and 426,411.84 is: 920,899.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,445.09 : 426,411.84 = 426,411.84 : x
  2. Step 2: Convert to fraction form
    197,445.09/426,411.84 = 426,411.84/x
  3. Step 3: Cross multiply
    197,445.09x = 426,411.84 × 426,411.84
  4. Step 4: Simplify right side
    197,445.09x = 181,827,060,490.27
  5. Step 5: Solve for x
    x = 181,827,060,490.27/197,445.09
  6. Step 6: Final answer
    x = 920,899.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.