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Finding the Third Proportional to 219,645 and 334,108.13

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Solution

The third proportional to 219,645 and 334,108.13 is: 508,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,645 : 334,108.13 = 334,108.13 : x
  2. Step 2: Convert to fraction form
    219,645/334,108.13 = 334,108.13/x
  3. Step 3: Cross multiply
    219,645x = 334,108.13 × 334,108.13
  4. Step 4: Simplify right side
    219,645x = 111,628,239,191.02
  5. Step 5: Solve for x
    x = 111,628,239,191.02/219,645
  6. Step 6: Final answer
    x = 508,221.17

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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.