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Finding the Third Proportional to 199,829 and 429,304

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Solution

The third proportional to 199,829 and 429,304 is: 922,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,829 : 429,304 = 429,304 : x
  2. Step 2: Convert to fraction form
    199,829/429,304 = 429,304/x
  3. Step 3: Cross multiply
    199,829x = 429,304 × 429,304
  4. Step 4: Simplify right side
    199,829x = 184,301,924,416
  5. Step 5: Solve for x
    x = 184,301,924,416/199,829
  6. Step 6: Final answer
    x = 922,298.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.