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Finding the Third Proportional to 170,430.50 and 367,023.50

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Solution

The third proportional to 170,430.50 and 367,023.50 is: 790,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,430.50 : 367,023.50 = 367,023.50 : x
  2. Step 2: Convert to fraction form
    170,430.50/367,023.50 = 367,023.50/x
  3. Step 3: Cross multiply
    170,430.50x = 367,023.50 × 367,023.50
  4. Step 4: Simplify right side
    170,430.50x = 134,706,249,552.25
  5. Step 5: Solve for x
    x = 134,706,249,552.25/170,430.50
  6. Step 6: Final answer
    x = 790,388.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.