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Finding the Third Proportional to 163,755 and 245,862

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Solution

The third proportional to 163,755 and 245,862 is: 369,137.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,755 : 245,862 = 245,862 : x
  2. Step 2: Convert to fraction form
    163,755/245,862 = 245,862/x
  3. Step 3: Cross multiply
    163,755x = 245,862 × 245,862
  4. Step 4: Simplify right side
    163,755x = 60,448,123,044
  5. Step 5: Solve for x
    x = 60,448,123,044/163,755
  6. Step 6: Final answer
    x = 369,137.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.