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Finding the Third Proportional to 148,797 and 321,116.06

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Solution

The third proportional to 148,797 and 321,116.06 is: 692,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,797 : 321,116.06 = 321,116.06 : x
  2. Step 2: Convert to fraction form
    148,797/321,116.06 = 321,116.06/x
  3. Step 3: Cross multiply
    148,797x = 321,116.06 × 321,116.06
  4. Step 4: Simplify right side
    148,797x = 103,115,525,595.50
  5. Step 5: Solve for x
    x = 103,115,525,595.50/148,797
  6. Step 6: Final answer
    x = 692,994.65

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