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Finding the Third Proportional to 219,924 and 343,017

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Solution

The third proportional to 219,924 and 343,017 is: 535,006.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,924 : 343,017 = 343,017 : x
  2. Step 2: Convert to fraction form
    219,924/343,017 = 343,017/x
  3. Step 3: Cross multiply
    219,924x = 343,017 × 343,017
  4. Step 4: Simplify right side
    219,924x = 117,660,662,289
  5. Step 5: Solve for x
    x = 117,660,662,289/219,924
  6. Step 6: Final answer
    x = 535,006.01

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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.