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Finding the Third Proportional to 154,610 and 332,592.50

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Solution

The third proportional to 154,610 and 332,592.50 is: 715,463.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,610 : 332,592.50 = 332,592.50 : x
  2. Step 2: Convert to fraction form
    154,610/332,592.50 = 332,592.50/x
  3. Step 3: Cross multiply
    154,610x = 332,592.50 × 332,592.50
  4. Step 4: Simplify right side
    154,610x = 110,617,771,056.25
  5. Step 5: Solve for x
    x = 110,617,771,056.25/154,610
  6. Step 6: Final answer
    x = 715,463.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.