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Finding the Third Proportional to 164,502 and 353,952

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Solution

The third proportional to 164,502 and 353,952 is: 761,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,502 : 353,952 = 353,952 : x
  2. Step 2: Convert to fraction form
    164,502/353,952 = 353,952/x
  3. Step 3: Cross multiply
    164,502x = 353,952 × 353,952
  4. Step 4: Simplify right side
    164,502x = 125,282,018,304
  5. Step 5: Solve for x
    x = 125,282,018,304/164,502
  6. Step 6: Final answer
    x = 761,583.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.