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Finding the Third Proportional to 144,207 and 305,037

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Solution

The third proportional to 144,207 and 305,037 is: 645,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,207 : 305,037 = 305,037 : x
  2. Step 2: Convert to fraction form
    144,207/305,037 = 305,037/x
  3. Step 3: Cross multiply
    144,207x = 305,037 × 305,037
  4. Step 4: Simplify right side
    144,207x = 93,047,571,369
  5. Step 5: Solve for x
    x = 93,047,571,369/144,207
  6. Step 6: Final answer
    x = 645,236.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.