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Finding the Third Proportional to 234,840 and 314,604

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Solution

The third proportional to 234,840 and 314,604 is: 421,460.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,840 : 314,604 = 314,604 : x
  2. Step 2: Convert to fraction form
    234,840/314,604 = 314,604/x
  3. Step 3: Cross multiply
    234,840x = 314,604 × 314,604
  4. Step 4: Simplify right side
    234,840x = 98,975,676,816
  5. Step 5: Solve for x
    x = 98,975,676,816/234,840
  6. Step 6: Final answer
    x = 421,460.04

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.