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Finding the Third Proportional to 164,822 and 352,970

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Solution

The third proportional to 164,822 and 352,970 is: 755,893.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,822 : 352,970 = 352,970 : x
  2. Step 2: Convert to fraction form
    164,822/352,970 = 352,970/x
  3. Step 3: Cross multiply
    164,822x = 352,970 × 352,970
  4. Step 4: Simplify right side
    164,822x = 124,587,820,900
  5. Step 5: Solve for x
    x = 124,587,820,900/164,822
  6. Step 6: Final answer
    x = 755,893.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.