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Finding the Third Proportional to 245,814 and 375,282

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Solution

The third proportional to 245,814 and 375,282 is: 572,939.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,814 : 375,282 = 375,282 : x
  2. Step 2: Convert to fraction form
    245,814/375,282 = 375,282/x
  3. Step 3: Cross multiply
    245,814x = 375,282 × 375,282
  4. Step 4: Simplify right side
    245,814x = 140,836,579,524
  5. Step 5: Solve for x
    x = 140,836,579,524/245,814
  6. Step 6: Final answer
    x = 572,939.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.