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Finding the Third Proportional to 221,412.94 and 352,482.47

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Solution

The third proportional to 221,412.94 and 352,482.47 is: 561,141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,412.94 : 352,482.47 = 352,482.47 : x
  2. Step 2: Convert to fraction form
    221,412.94/352,482.47 = 352,482.47/x
  3. Step 3: Cross multiply
    221,412.94x = 352,482.47 × 352,482.47
  4. Step 4: Simplify right side
    221,412.94x = 124,243,890,776.10
  5. Step 5: Solve for x
    x = 124,243,890,776.10/221,412.94
  6. Step 6: Final answer
    x = 561,141.06

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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.