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Finding the Third Proportional to 176,257 and 372,606.50

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Solution

The third proportional to 176,257 and 372,606.50 is: 787,688.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,257 : 372,606.50 = 372,606.50 : x
  2. Step 2: Convert to fraction form
    176,257/372,606.50 = 372,606.50/x
  3. Step 3: Cross multiply
    176,257x = 372,606.50 × 372,606.50
  4. Step 4: Simplify right side
    176,257x = 138,835,603,842.25
  5. Step 5: Solve for x
    x = 138,835,603,842.25/176,257
  6. Step 6: Final answer
    x = 787,688.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.