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Finding the Third Proportional to 189,117 and 403,506

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Solution

The third proportional to 189,117 and 403,506 is: 860,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,117 : 403,506 = 403,506 : x
  2. Step 2: Convert to fraction form
    189,117/403,506 = 403,506/x
  3. Step 3: Cross multiply
    189,117x = 403,506 × 403,506
  4. Step 4: Simplify right side
    189,117x = 162,817,092,036
  5. Step 5: Solve for x
    x = 162,817,092,036/189,117
  6. Step 6: Final answer
    x = 860,933.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.