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Finding the Third Proportional to 148,028 and 319,702

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Solution

The third proportional to 148,028 and 319,702 is: 690,473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,028 : 319,702 = 319,702 : x
  2. Step 2: Convert to fraction form
    148,028/319,702 = 319,702/x
  3. Step 3: Cross multiply
    148,028x = 319,702 × 319,702
  4. Step 4: Simplify right side
    148,028x = 102,209,368,804
  5. Step 5: Solve for x
    x = 102,209,368,804/148,028
  6. Step 6: Final answer
    x = 690,473.21

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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.