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Finding the Third Proportional to 161,060 and 236,854

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Solution

The third proportional to 161,060 and 236,854 is: 348,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,060 : 236,854 = 236,854 : x
  2. Step 2: Convert to fraction form
    161,060/236,854 = 236,854/x
  3. Step 3: Cross multiply
    161,060x = 236,854 × 236,854
  4. Step 4: Simplify right side
    161,060x = 56,099,817,316
  5. Step 5: Solve for x
    x = 56,099,817,316/161,060
  6. Step 6: Final answer
    x = 348,316.26

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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.