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Finding the Third Proportional to 163,637 and 353,095

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Solution

The third proportional to 163,637 and 353,095 is: 761,906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,637 : 353,095 = 353,095 : x
  2. Step 2: Convert to fraction form
    163,637/353,095 = 353,095/x
  3. Step 3: Cross multiply
    163,637x = 353,095 × 353,095
  4. Step 4: Simplify right side
    163,637x = 124,676,079,025
  5. Step 5: Solve for x
    x = 124,676,079,025/163,637
  6. Step 6: Final answer
    x = 761,906.41

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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.