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Finding the Third Proportional to 203,506 and 442,043

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Solution

The third proportional to 203,506 and 442,043 is: 960,178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,506 : 442,043 = 442,043 : x
  2. Step 2: Convert to fraction form
    203,506/442,043 = 442,043/x
  3. Step 3: Cross multiply
    203,506x = 442,043 × 442,043
  4. Step 4: Simplify right side
    203,506x = 195,402,013,849
  5. Step 5: Solve for x
    x = 195,402,013,849/203,506
  6. Step 6: Final answer
    x = 960,178.15

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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.