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Finding the Third Proportional to 189,658.18 and 406,303.59

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Solution

The third proportional to 189,658.18 and 406,303.59 is: 870,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,658.18 : 406,303.59 = 406,303.59 : x
  2. Step 2: Convert to fraction form
    189,658.18/406,303.59 = 406,303.59/x
  3. Step 3: Cross multiply
    189,658.18x = 406,303.59 × 406,303.59
  4. Step 4: Simplify right side
    189,658.18x = 165,082,610,294.17
  5. Step 5: Solve for x
    x = 165,082,610,294.17/189,658.18
  6. Step 6: Final answer
    x = 870,421.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.