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Finding the Third Proportional to 144,699.19 and 206,407.69

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Solution

The third proportional to 144,699.19 and 206,407.69 is: 294,432.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,699.19 : 206,407.69 = 206,407.69 : x
  2. Step 2: Convert to fraction form
    144,699.19/206,407.69 = 206,407.69/x
  3. Step 3: Cross multiply
    144,699.19x = 206,407.69 × 206,407.69
  4. Step 4: Simplify right side
    144,699.19x = 42,604,133,459.10
  5. Step 5: Solve for x
    x = 42,604,133,459.10/144,699.19
  6. Step 6: Final answer
    x = 294,432.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.