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Finding the Third Proportional to 128,820 and 275,329.50

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Solution

The third proportional to 128,820 and 275,329.50 is: 588,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,820 : 275,329.50 = 275,329.50 : x
  2. Step 2: Convert to fraction form
    128,820/275,329.50 = 275,329.50/x
  3. Step 3: Cross multiply
    128,820x = 275,329.50 × 275,329.50
  4. Step 4: Simplify right side
    128,820x = 75,806,333,570.25
  5. Step 5: Solve for x
    x = 75,806,333,570.25/128,820
  6. Step 6: Final answer
    x = 588,467.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.