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Finding the Third Proportional to 189,011 and 304,541

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Solution

The third proportional to 189,011 and 304,541 is: 490,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,011 : 304,541 = 304,541 : x
  2. Step 2: Convert to fraction form
    189,011/304,541 = 304,541/x
  3. Step 3: Cross multiply
    189,011x = 304,541 × 304,541
  4. Step 4: Simplify right side
    189,011x = 92,745,220,681
  5. Step 5: Solve for x
    x = 92,745,220,681/189,011
  6. Step 6: Final answer
    x = 490,686.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.