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Finding the Third Proportional to 143,140 and 210,334

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Solution

The third proportional to 143,140 and 210,334 is: 309,070.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,140 : 210,334 = 210,334 : x
  2. Step 2: Convert to fraction form
    143,140/210,334 = 210,334/x
  3. Step 3: Cross multiply
    143,140x = 210,334 × 210,334
  4. Step 4: Simplify right side
    143,140x = 44,240,391,556
  5. Step 5: Solve for x
    x = 44,240,391,556/143,140
  6. Step 6: Final answer
    x = 309,070.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.