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Finding the Third Proportional to 103,280 and 218,967

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Solution

The third proportional to 103,280 and 218,967 is: 464,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,280 : 218,967 = 218,967 : x
  2. Step 2: Convert to fraction form
    103,280/218,967 = 218,967/x
  3. Step 3: Cross multiply
    103,280x = 218,967 × 218,967
  4. Step 4: Simplify right side
    103,280x = 47,946,547,089
  5. Step 5: Solve for x
    x = 47,946,547,089/103,280
  6. Step 6: Final answer
    x = 464,238.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.