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Finding the Third Proportional to 163,528 and 352,862

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Solution

The third proportional to 163,528 and 352,862 is: 761,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,528 : 352,862 = 352,862 : x
  2. Step 2: Convert to fraction form
    163,528/352,862 = 352,862/x
  3. Step 3: Cross multiply
    163,528x = 352,862 × 352,862
  4. Step 4: Simplify right side
    163,528x = 124,511,591,044
  5. Step 5: Solve for x
    x = 124,511,591,044/163,528
  6. Step 6: Final answer
    x = 761,408.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.