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Finding the Third Proportional to 154,210.50 and 241,965.75

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Solution

The third proportional to 154,210.50 and 241,965.75 is: 379,659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,210.50 : 241,965.75 = 241,965.75 : x
  2. Step 2: Convert to fraction form
    154,210.50/241,965.75 = 241,965.75/x
  3. Step 3: Cross multiply
    154,210.50x = 241,965.75 × 241,965.75
  4. Step 4: Simplify right side
    154,210.50x = 58,547,424,173.06
  5. Step 5: Solve for x
    x = 58,547,424,173.06/154,210.50
  6. Step 6: Final answer
    x = 379,659.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.