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Finding the Third Proportional to 130,927.50 and 314,919

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Solution

The third proportional to 130,927.50 and 314,919 is: 757,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,927.50 : 314,919 = 314,919 : x
  2. Step 2: Convert to fraction form
    130,927.50/314,919 = 314,919/x
  3. Step 3: Cross multiply
    130,927.50x = 314,919 × 314,919
  4. Step 4: Simplify right side
    130,927.50x = 99,173,976,561
  5. Step 5: Solve for x
    x = 99,173,976,561/130,927.50
  6. Step 6: Final answer
    x = 757,472.47

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.