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Finding the Third Proportional to 173,984.50 and 370,743.50

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Solution

The third proportional to 173,984.50 and 370,743.50 is: 790,017.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,984.50 : 370,743.50 = 370,743.50 : x
  2. Step 2: Convert to fraction form
    173,984.50/370,743.50 = 370,743.50/x
  3. Step 3: Cross multiply
    173,984.50x = 370,743.50 × 370,743.50
  4. Step 4: Simplify right side
    173,984.50x = 137,450,742,792.25
  5. Step 5: Solve for x
    x = 137,450,742,792.25/173,984.50
  6. Step 6: Final answer
    x = 790,017.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.