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Finding the Third Proportional to 216,319.50 and 469,143

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Solution

The third proportional to 216,319.50 and 469,143 is: 1,017,454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,319.50 : 469,143 = 469,143 : x
  2. Step 2: Convert to fraction form
    216,319.50/469,143 = 469,143/x
  3. Step 3: Cross multiply
    216,319.50x = 469,143 × 469,143
  4. Step 4: Simplify right side
    216,319.50x = 220,095,154,449
  5. Step 5: Solve for x
    x = 220,095,154,449/216,319.50
  6. Step 6: Final answer
    x = 1,017,454.06

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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.