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Finding the Third Proportional to 248,152.50 and 543,564

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Solution

The third proportional to 248,152.50 and 543,564 is: 1,190,646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,152.50 : 543,564 = 543,564 : x
  2. Step 2: Convert to fraction form
    248,152.50/543,564 = 543,564/x
  3. Step 3: Cross multiply
    248,152.50x = 543,564 × 543,564
  4. Step 4: Simplify right side
    248,152.50x = 295,461,822,096
  5. Step 5: Solve for x
    x = 295,461,822,096/248,152.50
  6. Step 6: Final answer
    x = 1,190,646.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.