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Finding the Third Proportional to 114,840 and 246,284

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Solution

The third proportional to 114,840 and 246,284 is: 528,176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,840 : 246,284 = 246,284 : x
  2. Step 2: Convert to fraction form
    114,840/246,284 = 246,284/x
  3. Step 3: Cross multiply
    114,840x = 246,284 × 246,284
  4. Step 4: Simplify right side
    114,840x = 60,655,808,656
  5. Step 5: Solve for x
    x = 60,655,808,656/114,840
  6. Step 6: Final answer
    x = 528,176.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.