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Finding the Third Proportional to 148,378.50 and 350,038.13

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Solution

The third proportional to 148,378.50 and 350,038.13 is: 825,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,378.50 : 350,038.13 = 350,038.13 : x
  2. Step 2: Convert to fraction form
    148,378.50/350,038.13 = 350,038.13/x
  3. Step 3: Cross multiply
    148,378.50x = 350,038.13 × 350,038.13
  4. Step 4: Simplify right side
    148,378.50x = 122,526,688,953.52
  5. Step 5: Solve for x
    x = 122,526,688,953.52/148,378.50
  6. Step 6: Final answer
    x = 825,771.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.