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Finding the Third Proportional to 145,381.50 and 308,370

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Solution

The third proportional to 145,381.50 and 308,370 is: 654,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,381.50 : 308,370 = 308,370 : x
  2. Step 2: Convert to fraction form
    145,381.50/308,370 = 308,370/x
  3. Step 3: Cross multiply
    145,381.50x = 308,370 × 308,370
  4. Step 4: Simplify right side
    145,381.50x = 95,092,056,900
  5. Step 5: Solve for x
    x = 95,092,056,900/145,381.50
  6. Step 6: Final answer
    x = 654,086.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.