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Finding the Third Proportional to 145,768 and 219,102

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Solution

The third proportional to 145,768 and 219,102 is: 329,329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,768 : 219,102 = 219,102 : x
  2. Step 2: Convert to fraction form
    145,768/219,102 = 219,102/x
  3. Step 3: Cross multiply
    145,768x = 219,102 × 219,102
  4. Step 4: Simplify right side
    145,768x = 48,005,686,404
  5. Step 5: Solve for x
    x = 48,005,686,404/145,768
  6. Step 6: Final answer
    x = 329,329.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.