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Finding the Third Proportional to 144,099 and 314,037

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Solution

The third proportional to 144,099 and 314,037 is: 684,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,099 : 314,037 = 314,037 : x
  2. Step 2: Convert to fraction form
    144,099/314,037 = 314,037/x
  3. Step 3: Cross multiply
    144,099x = 314,037 × 314,037
  4. Step 4: Simplify right side
    144,099x = 98,619,237,369
  5. Step 5: Solve for x
    x = 98,619,237,369/144,099
  6. Step 6: Final answer
    x = 684,385.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.