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Finding the Third Proportional to 202,506 and 261,316.50

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Solution

The third proportional to 202,506 and 261,316.50 is: 337,206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,506 : 261,316.50 = 261,316.50 : x
  2. Step 2: Convert to fraction form
    202,506/261,316.50 = 261,316.50/x
  3. Step 3: Cross multiply
    202,506x = 261,316.50 × 261,316.50
  4. Step 4: Simplify right side
    202,506x = 68,286,313,172.25
  5. Step 5: Solve for x
    x = 68,286,313,172.25/202,506
  6. Step 6: Final answer
    x = 337,206.37

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.