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Finding the Third Proportional to 141,412.50 and 310,041

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Solution

The third proportional to 141,412.50 and 310,041 is: 679,751.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,412.50 : 310,041 = 310,041 : x
  2. Step 2: Convert to fraction form
    141,412.50/310,041 = 310,041/x
  3. Step 3: Cross multiply
    141,412.50x = 310,041 × 310,041
  4. Step 4: Simplify right side
    141,412.50x = 96,125,421,681
  5. Step 5: Solve for x
    x = 96,125,421,681/141,412.50
  6. Step 6: Final answer
    x = 679,751.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.