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Finding the Third Proportional to 241,084.50 and 387,141

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Solution

The third proportional to 241,084.50 and 387,141 is: 621,683.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,084.50 : 387,141 = 387,141 : x
  2. Step 2: Convert to fraction form
    241,084.50/387,141 = 387,141/x
  3. Step 3: Cross multiply
    241,084.50x = 387,141 × 387,141
  4. Step 4: Simplify right side
    241,084.50x = 149,878,153,881
  5. Step 5: Solve for x
    x = 149,878,153,881/241,084.50
  6. Step 6: Final answer
    x = 621,683.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.