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Finding the Third Proportional to 189,358 and 284,527

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Solution

The third proportional to 189,358 and 284,527 is: 427,526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,358 : 284,527 = 284,527 : x
  2. Step 2: Convert to fraction form
    189,358/284,527 = 284,527/x
  3. Step 3: Cross multiply
    189,358x = 284,527 × 284,527
  4. Step 4: Simplify right side
    189,358x = 80,955,613,729
  5. Step 5: Solve for x
    x = 80,955,613,729/189,358
  6. Step 6: Final answer
    x = 427,526.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.