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Finding the Third Proportional to 242,714.50 and 532,085

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Solution

The third proportional to 242,714.50 and 532,085 is: 1,166,450.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,714.50 : 532,085 = 532,085 : x
  2. Step 2: Convert to fraction form
    242,714.50/532,085 = 532,085/x
  3. Step 3: Cross multiply
    242,714.50x = 532,085 × 532,085
  4. Step 4: Simplify right side
    242,714.50x = 283,114,447,225
  5. Step 5: Solve for x
    x = 283,114,447,225/242,714.50
  6. Step 6: Final answer
    x = 1,166,450.49

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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.