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Finding the Third Proportional to 78,208.88 and 170,762.25

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Solution

The third proportional to 78,208.88 and 170,762.25 is: 372,844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,208.88 : 170,762.25 = 170,762.25 : x
  2. Step 2: Convert to fraction form
    78,208.88/170,762.25 = 170,762.25/x
  3. Step 3: Cross multiply
    78,208.88x = 170,762.25 × 170,762.25
  4. Step 4: Simplify right side
    78,208.88x = 29,159,746,025.06
  5. Step 5: Solve for x
    x = 29,159,746,025.06/78,208.88
  6. Step 6: Final answer
    x = 372,844.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.