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Finding the Third Proportional to 252,178 and 390,451

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Solution

The third proportional to 252,178 and 390,451 is: 604,541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,178 : 390,451 = 390,451 : x
  2. Step 2: Convert to fraction form
    252,178/390,451 = 390,451/x
  3. Step 3: Cross multiply
    252,178x = 390,451 × 390,451
  4. Step 4: Simplify right side
    252,178x = 152,451,983,401
  5. Step 5: Solve for x
    x = 152,451,983,401/252,178
  6. Step 6: Final answer
    x = 604,541.17

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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.