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Finding the Third Proportional to 210,399 and 295,941.50

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Solution

The third proportional to 210,399 and 295,941.50 is: 416,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,399 : 295,941.50 = 295,941.50 : x
  2. Step 2: Convert to fraction form
    210,399/295,941.50 = 295,941.50/x
  3. Step 3: Cross multiply
    210,399x = 295,941.50 × 295,941.50
  4. Step 4: Simplify right side
    210,399x = 87,581,371,422.25
  5. Step 5: Solve for x
    x = 87,581,371,422.25/210,399
  6. Step 6: Final answer
    x = 416,263.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.