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Finding the Third Proportional to 242,851.50 and 380,173.50

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Solution

The third proportional to 242,851.50 and 380,173.50 is: 595,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,851.50 : 380,173.50 = 380,173.50 : x
  2. Step 2: Convert to fraction form
    242,851.50/380,173.50 = 380,173.50/x
  3. Step 3: Cross multiply
    242,851.50x = 380,173.50 × 380,173.50
  4. Step 4: Simplify right side
    242,851.50x = 144,531,890,102.25
  5. Step 5: Solve for x
    x = 144,531,890,102.25/242,851.50
  6. Step 6: Final answer
    x = 595,145.14

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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.