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Finding the Third Proportional to 223,580 and 348,982

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Solution

The third proportional to 223,580 and 348,982 is: 544,719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,580 : 348,982 = 348,982 : x
  2. Step 2: Convert to fraction form
    223,580/348,982 = 348,982/x
  3. Step 3: Cross multiply
    223,580x = 348,982 × 348,982
  4. Step 4: Simplify right side
    223,580x = 121,788,436,324
  5. Step 5: Solve for x
    x = 121,788,436,324/223,580
  6. Step 6: Final answer
    x = 544,719.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.