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Finding the Third Proportional to 72,303 and 161,206.50

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Solution

The third proportional to 72,303 and 161,206.50 is: 359,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,303 : 161,206.50 = 161,206.50 : x
  2. Step 2: Convert to fraction form
    72,303/161,206.50 = 161,206.50/x
  3. Step 3: Cross multiply
    72,303x = 161,206.50 × 161,206.50
  4. Step 4: Simplify right side
    72,303x = 25,987,535,642.25
  5. Step 5: Solve for x
    x = 25,987,535,642.25/72,303
  6. Step 6: Final answer
    x = 359,425.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.