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Finding the Third Proportional to 145,145 and 219,905

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Solution

The third proportional to 145,145 and 219,905 is: 333,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,145 : 219,905 = 219,905 : x
  2. Step 2: Convert to fraction form
    145,145/219,905 = 219,905/x
  3. Step 3: Cross multiply
    145,145x = 219,905 × 219,905
  4. Step 4: Simplify right side
    145,145x = 48,358,209,025
  5. Step 5: Solve for x
    x = 48,358,209,025/145,145
  6. Step 6: Final answer
    x = 333,171.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.