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Finding the Third Proportional to 245,348 and 365,426

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Solution

The third proportional to 245,348 and 365,426 is: 544,272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,348 : 365,426 = 365,426 : x
  2. Step 2: Convert to fraction form
    245,348/365,426 = 365,426/x
  3. Step 3: Cross multiply
    245,348x = 365,426 × 365,426
  4. Step 4: Simplify right side
    245,348x = 133,536,161,476
  5. Step 5: Solve for x
    x = 133,536,161,476/245,348
  6. Step 6: Final answer
    x = 544,272.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.