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Finding the Third Proportional to 245,816 and 375,285

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Solution

The third proportional to 245,816 and 375,285 is: 572,944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,816 : 375,285 = 375,285 : x
  2. Step 2: Convert to fraction form
    245,816/375,285 = 375,285/x
  3. Step 3: Cross multiply
    245,816x = 375,285 × 375,285
  4. Step 4: Simplify right side
    245,816x = 140,838,831,225
  5. Step 5: Solve for x
    x = 140,838,831,225/245,816
  6. Step 6: Final answer
    x = 572,944.12

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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.