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Finding the Third Proportional to 163,461 and 254,424.75

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Solution

The third proportional to 163,461 and 254,424.75 is: 396,008.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,461 : 254,424.75 = 254,424.75 : x
  2. Step 2: Convert to fraction form
    163,461/254,424.75 = 254,424.75/x
  3. Step 3: Cross multiply
    163,461x = 254,424.75 × 254,424.75
  4. Step 4: Simplify right side
    163,461x = 64,731,953,412.56
  5. Step 5: Solve for x
    x = 64,731,953,412.56/163,461
  6. Step 6: Final answer
    x = 396,008.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.