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Finding the Third Proportional to 154,221.75 and 357,002.63

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Solution

The third proportional to 154,221.75 and 357,002.63 is: 826,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,221.75 : 357,002.63 = 357,002.63 : x
  2. Step 2: Convert to fraction form
    154,221.75/357,002.63 = 357,002.63/x
  3. Step 3: Cross multiply
    154,221.75x = 357,002.63 × 357,002.63
  4. Step 4: Simplify right side
    154,221.75x = 127,450,874,256.89
  5. Step 5: Solve for x
    x = 127,450,874,256.89/154,221.75
  6. Step 6: Final answer
    x = 826,413.10

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.