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Finding the Third Proportional to 147,966.75 and 321,070.50

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Solution

The third proportional to 147,966.75 and 321,070.50 is: 696,685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,966.75 : 321,070.50 = 321,070.50 : x
  2. Step 2: Convert to fraction form
    147,966.75/321,070.50 = 321,070.50/x
  3. Step 3: Cross multiply
    147,966.75x = 321,070.50 × 321,070.50
  4. Step 4: Simplify right side
    147,966.75x = 103,086,265,970.25
  5. Step 5: Solve for x
    x = 103,086,265,970.25/147,966.75
  6. Step 6: Final answer
    x = 696,685.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.