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Finding the Third Proportional to 180,079.50 and 390,683

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Solution

The third proportional to 180,079.50 and 390,683 is: 847,587.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,079.50 : 390,683 = 390,683 : x
  2. Step 2: Convert to fraction form
    180,079.50/390,683 = 390,683/x
  3. Step 3: Cross multiply
    180,079.50x = 390,683 × 390,683
  4. Step 4: Simplify right side
    180,079.50x = 152,633,206,489
  5. Step 5: Solve for x
    x = 152,633,206,489/180,079.50
  6. Step 6: Final answer
    x = 847,587.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.