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Finding the Third Proportional to 161,044 and 236,830

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Solution

The third proportional to 161,044 and 236,830 is: 348,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,044 : 236,830 = 236,830 : x
  2. Step 2: Convert to fraction form
    161,044/236,830 = 236,830/x
  3. Step 3: Cross multiply
    161,044x = 236,830 × 236,830
  4. Step 4: Simplify right side
    161,044x = 56,088,448,900
  5. Step 5: Solve for x
    x = 56,088,448,900/161,044
  6. Step 6: Final answer
    x = 348,280.28

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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.