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Finding the Third Proportional to 160,886 and 236,643

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Solution

The third proportional to 160,886 and 236,643 is: 348,071.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,886 : 236,643 = 236,643 : x
  2. Step 2: Convert to fraction form
    160,886/236,643 = 236,643/x
  3. Step 3: Cross multiply
    160,886x = 236,643 × 236,643
  4. Step 4: Simplify right side
    160,886x = 55,999,909,449
  5. Step 5: Solve for x
    x = 55,999,909,449/160,886
  6. Step 6: Final answer
    x = 348,071.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.