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Finding the Third Proportional to 159,547 and 236,167

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Solution

The third proportional to 159,547 and 236,167 is: 349,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,547 : 236,167 = 236,167 : x
  2. Step 2: Convert to fraction form
    159,547/236,167 = 236,167/x
  3. Step 3: Cross multiply
    159,547x = 236,167 × 236,167
  4. Step 4: Simplify right side
    159,547x = 55,774,851,889
  5. Step 5: Solve for x
    x = 55,774,851,889/159,547
  6. Step 6: Final answer
    x = 349,582.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.