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Finding the Third Proportional to 200,073 and 429,534

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Solution

The third proportional to 200,073 and 429,534 is: 922,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,073 : 429,534 = 429,534 : x
  2. Step 2: Convert to fraction form
    200,073/429,534 = 429,534/x
  3. Step 3: Cross multiply
    200,073x = 429,534 × 429,534
  4. Step 4: Simplify right side
    200,073x = 184,499,457,156
  5. Step 5: Solve for x
    x = 184,499,457,156/200,073
  6. Step 6: Final answer
    x = 922,160.70

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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.