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Finding the Third Proportional to 223,988 and 346,817

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Solution

The third proportional to 223,988 and 346,817 is: 537,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,988 : 346,817 = 346,817 : x
  2. Step 2: Convert to fraction form
    223,988/346,817 = 346,817/x
  3. Step 3: Cross multiply
    223,988x = 346,817 × 346,817
  4. Step 4: Simplify right side
    223,988x = 120,282,031,489
  5. Step 5: Solve for x
    x = 120,282,031,489/223,988
  6. Step 6: Final answer
    x = 537,002.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.