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Finding the Third Proportional to 143,550 and 205,488

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Solution

The third proportional to 143,550 and 205,488 is: 294,150.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,550 : 205,488 = 205,488 : x
  2. Step 2: Convert to fraction form
    143,550/205,488 = 205,488/x
  3. Step 3: Cross multiply
    143,550x = 205,488 × 205,488
  4. Step 4: Simplify right side
    143,550x = 42,225,318,144
  5. Step 5: Solve for x
    x = 42,225,318,144/143,550
  6. Step 6: Final answer
    x = 294,150.60

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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.