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Finding the Third Proportional to 161,364 and 236,862

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Solution

The third proportional to 161,364 and 236,862 is: 347,683.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,364 : 236,862 = 236,862 : x
  2. Step 2: Convert to fraction form
    161,364/236,862 = 236,862/x
  3. Step 3: Cross multiply
    161,364x = 236,862 × 236,862
  4. Step 4: Simplify right side
    161,364x = 56,103,607,044
  5. Step 5: Solve for x
    x = 56,103,607,044/161,364
  6. Step 6: Final answer
    x = 347,683.54

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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.