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Finding the Third Proportional to 148,824 and 320,973

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Solution

The third proportional to 148,824 and 320,973 is: 692,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,824 : 320,973 = 320,973 : x
  2. Step 2: Convert to fraction form
    148,824/320,973 = 320,973/x
  3. Step 3: Cross multiply
    148,824x = 320,973 × 320,973
  4. Step 4: Simplify right side
    148,824x = 103,023,666,729
  5. Step 5: Solve for x
    x = 103,023,666,729/148,824
  6. Step 6: Final answer
    x = 692,251.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.