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Finding the Third Proportional to 189,428 and 294,102

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Solution

The third proportional to 189,428 and 294,102 is: 456,616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,428 : 294,102 = 294,102 : x
  2. Step 2: Convert to fraction form
    189,428/294,102 = 294,102/x
  3. Step 3: Cross multiply
    189,428x = 294,102 × 294,102
  4. Step 4: Simplify right side
    189,428x = 86,495,986,404
  5. Step 5: Solve for x
    x = 86,495,986,404/189,428
  6. Step 6: Final answer
    x = 456,616.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.