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Finding the Third Proportional to 200,848.50 and 266,553

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Solution

The third proportional to 200,848.50 and 266,553 is: 353,751.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,848.50 : 266,553 = 266,553 : x
  2. Step 2: Convert to fraction form
    200,848.50/266,553 = 266,553/x
  3. Step 3: Cross multiply
    200,848.50x = 266,553 × 266,553
  4. Step 4: Simplify right side
    200,848.50x = 71,050,501,809
  5. Step 5: Solve for x
    x = 71,050,501,809/200,848.50
  6. Step 6: Final answer
    x = 353,751.72

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.