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Finding the Third Proportional to 242,197.50 and 525,219

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Solution

The third proportional to 242,197.50 and 525,219 is: 1,138,967.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,197.50 : 525,219 = 525,219 : x
  2. Step 2: Convert to fraction form
    242,197.50/525,219 = 525,219/x
  3. Step 3: Cross multiply
    242,197.50x = 525,219 × 525,219
  4. Step 4: Simplify right side
    242,197.50x = 275,854,997,961
  5. Step 5: Solve for x
    x = 275,854,997,961/242,197.50
  6. Step 6: Final answer
    x = 1,138,967.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.