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Finding the Third Proportional to 164,537 and 248,830

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Solution

The third proportional to 164,537 and 248,830 is: 376,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,537 : 248,830 = 248,830 : x
  2. Step 2: Convert to fraction form
    164,537/248,830 = 248,830/x
  3. Step 3: Cross multiply
    164,537x = 248,830 × 248,830
  4. Step 4: Simplify right side
    164,537x = 61,916,368,900
  5. Step 5: Solve for x
    x = 61,916,368,900/164,537
  6. Step 6: Final answer
    x = 376,306.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.