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Finding the Third Proportional to 148,452 and 317,923.50

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Solution

The third proportional to 148,452 and 317,923.50 is: 680,862.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,452 : 317,923.50 = 317,923.50 : x
  2. Step 2: Convert to fraction form
    148,452/317,923.50 = 317,923.50/x
  3. Step 3: Cross multiply
    148,452x = 317,923.50 × 317,923.50
  4. Step 4: Simplify right side
    148,452x = 101,075,351,852.25
  5. Step 5: Solve for x
    x = 101,075,351,852.25/148,452
  6. Step 6: Final answer
    x = 680,862.18

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