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Finding the Third Proportional to 114,332 and 164,420.50

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Solution

The third proportional to 114,332 and 164,420.50 is: 236,452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,332 : 164,420.50 = 164,420.50 : x
  2. Step 2: Convert to fraction form
    114,332/164,420.50 = 164,420.50/x
  3. Step 3: Cross multiply
    114,332x = 164,420.50 × 164,420.50
  4. Step 4: Simplify right side
    114,332x = 27,034,100,820.25
  5. Step 5: Solve for x
    x = 27,034,100,820.25/114,332
  6. Step 6: Final answer
    x = 236,452.62

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.