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Finding the Third Proportional to 241,390.50 and 354,697.50

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Solution

The third proportional to 241,390.50 and 354,697.50 is: 521,190.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,390.50 : 354,697.50 = 354,697.50 : x
  2. Step 2: Convert to fraction form
    241,390.50/354,697.50 = 354,697.50/x
  3. Step 3: Cross multiply
    241,390.50x = 354,697.50 × 354,697.50
  4. Step 4: Simplify right side
    241,390.50x = 125,810,316,506.25
  5. Step 5: Solve for x
    x = 125,810,316,506.25/241,390.50
  6. Step 6: Final answer
    x = 521,190.01

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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.