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Finding the Third Proportional to 147,799 and 216,454.50

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Solution

The third proportional to 147,799 and 216,454.50 is: 317,001.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,799 : 216,454.50 = 216,454.50 : x
  2. Step 2: Convert to fraction form
    147,799/216,454.50 = 216,454.50/x
  3. Step 3: Cross multiply
    147,799x = 216,454.50 × 216,454.50
  4. Step 4: Simplify right side
    147,799x = 46,852,550,570.25
  5. Step 5: Solve for x
    x = 46,852,550,570.25/147,799
  6. Step 6: Final answer
    x = 317,001.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.