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Finding the Third Proportional to 176,605.50 and 252,222

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Solution

The third proportional to 176,605.50 and 252,222 is: 360,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,605.50 : 252,222 = 252,222 : x
  2. Step 2: Convert to fraction form
    176,605.50/252,222 = 252,222/x
  3. Step 3: Cross multiply
    176,605.50x = 252,222 × 252,222
  4. Step 4: Simplify right side
    176,605.50x = 63,615,937,284
  5. Step 5: Solve for x
    x = 63,615,937,284/176,605.50
  6. Step 6: Final answer
    x = 360,214.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.