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Finding the Third Proportional to 154,482.19 and 233,902.69

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Solution

The third proportional to 154,482.19 and 233,902.69 is: 354,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,482.19 : 233,902.69 = 233,902.69 : x
  2. Step 2: Convert to fraction form
    154,482.19/233,902.69 = 233,902.69/x
  3. Step 3: Cross multiply
    154,482.19x = 233,902.69 × 233,902.69
  4. Step 4: Simplify right side
    154,482.19x = 54,710,467,219.72
  5. Step 5: Solve for x
    x = 54,710,467,219.72/154,482.19
  6. Step 6: Final answer
    x = 354,153.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.