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Finding the Third Proportional to 215,102 and 439,528

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Solution

The third proportional to 215,102 and 439,528 is: 898,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,102 : 439,528 = 439,528 : x
  2. Step 2: Convert to fraction form
    215,102/439,528 = 439,528/x
  3. Step 3: Cross multiply
    215,102x = 439,528 × 439,528
  4. Step 4: Simplify right side
    215,102x = 193,184,862,784
  5. Step 5: Solve for x
    x = 193,184,862,784/215,102
  6. Step 6: Final answer
    x = 898,108.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.