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Finding the Third Proportional to 241,275.50 and 354,888

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Solution

The third proportional to 241,275.50 and 354,888 is: 521,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,275.50 : 354,888 = 354,888 : x
  2. Step 2: Convert to fraction form
    241,275.50/354,888 = 354,888/x
  3. Step 3: Cross multiply
    241,275.50x = 354,888 × 354,888
  4. Step 4: Simplify right side
    241,275.50x = 125,945,492,544
  5. Step 5: Solve for x
    x = 125,945,492,544/241,275.50
  6. Step 6: Final answer
    x = 521,998.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.