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Finding the Third Proportional to 216,219 and 473,164.75

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Solution

The third proportional to 216,219 and 473,164.75 is: 1,035,454.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,219 : 473,164.75 = 473,164.75 : x
  2. Step 2: Convert to fraction form
    216,219/473,164.75 = 473,164.75/x
  3. Step 3: Cross multiply
    216,219x = 473,164.75 × 473,164.75
  4. Step 4: Simplify right side
    216,219x = 223,884,880,642.56
  5. Step 5: Solve for x
    x = 223,884,880,642.56/216,219
  6. Step 6: Final answer
    x = 1,035,454.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.