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Finding the Third Proportional to 245,172 and 371,426

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Solution

The third proportional to 245,172 and 371,426 is: 562,695.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,172 : 371,426 = 371,426 : x
  2. Step 2: Convert to fraction form
    245,172/371,426 = 371,426/x
  3. Step 3: Cross multiply
    245,172x = 371,426 × 371,426
  4. Step 4: Simplify right side
    245,172x = 137,957,273,476
  5. Step 5: Solve for x
    x = 137,957,273,476/245,172
  6. Step 6: Final answer
    x = 562,695.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.