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Finding the Third Proportional to 221,412.75 and 352,482.19

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Solution

The third proportional to 221,412.75 and 352,482.19 is: 561,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,412.75 : 352,482.19 = 352,482.19 : x
  2. Step 2: Convert to fraction form
    221,412.75/352,482.19 = 352,482.19/x
  3. Step 3: Cross multiply
    221,412.75x = 352,482.19 × 352,482.19
  4. Step 4: Simplify right side
    221,412.75x = 124,243,692,504.79
  5. Step 5: Solve for x
    x = 124,243,692,504.79/221,412.75
  6. Step 6: Final answer
    x = 561,140.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.