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Finding the Third Proportional to 176,607 and 264,216

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Solution

The third proportional to 176,607 and 264,216 is: 395,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,607 : 264,216 = 264,216 : x
  2. Step 2: Convert to fraction form
    176,607/264,216 = 264,216/x
  3. Step 3: Cross multiply
    176,607x = 264,216 × 264,216
  4. Step 4: Simplify right side
    176,607x = 69,810,094,656
  5. Step 5: Solve for x
    x = 69,810,094,656/176,607
  6. Step 6: Final answer
    x = 395,284.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.