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Finding the Third Proportional to 141,556 and 308,088

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Solution

The third proportional to 141,556 and 308,088 is: 670,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,556 : 308,088 = 308,088 : x
  2. Step 2: Convert to fraction form
    141,556/308,088 = 308,088/x
  3. Step 3: Cross multiply
    141,556x = 308,088 × 308,088
  4. Step 4: Simplify right side
    141,556x = 94,918,215,744
  5. Step 5: Solve for x
    x = 94,918,215,744/141,556
  6. Step 6: Final answer
    x = 670,534.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.