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Finding the Third Proportional to 167,564.53 and 359,114.34

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Solution

The third proportional to 167,564.53 and 359,114.34 is: 769,632.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,564.53 : 359,114.34 = 359,114.34 : x
  2. Step 2: Convert to fraction form
    167,564.53/359,114.34 = 359,114.34/x
  3. Step 3: Cross multiply
    167,564.53x = 359,114.34 × 359,114.34
  4. Step 4: Simplify right side
    167,564.53x = 128,963,111,886.99
  5. Step 5: Solve for x
    x = 128,963,111,886.99/167,564.53
  6. Step 6: Final answer
    x = 769,632.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.