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Finding the Third Proportional to 143,097 and 310,799

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Solution

The third proportional to 143,097 and 310,799 is: 675,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,097 : 310,799 = 310,799 : x
  2. Step 2: Convert to fraction form
    143,097/310,799 = 310,799/x
  3. Step 3: Cross multiply
    143,097x = 310,799 × 310,799
  4. Step 4: Simplify right side
    143,097x = 96,596,018,401
  5. Step 5: Solve for x
    x = 96,596,018,401/143,097
  6. Step 6: Final answer
    x = 675,038.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.