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Finding the Third Proportional to 186,918.75 and 293,770.13

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Solution

The third proportional to 186,918.75 and 293,770.13 is: 461,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,918.75 : 293,770.13 = 293,770.13 : x
  2. Step 2: Convert to fraction form
    186,918.75/293,770.13 = 293,770.13/x
  3. Step 3: Cross multiply
    186,918.75x = 293,770.13 × 293,770.13
  4. Step 4: Simplify right side
    186,918.75x = 86,300,886,342.52
  5. Step 5: Solve for x
    x = 86,300,886,342.52/186,918.75
  6. Step 6: Final answer
    x = 461,702.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.