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Finding the Third Proportional to 176,240 and 373,438

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Solution

The third proportional to 176,240 and 373,438 is: 791,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,240 : 373,438 = 373,438 : x
  2. Step 2: Convert to fraction form
    176,240/373,438 = 373,438/x
  3. Step 3: Cross multiply
    176,240x = 373,438 × 373,438
  4. Step 4: Simplify right side
    176,240x = 139,455,939,844
  5. Step 5: Solve for x
    x = 139,455,939,844/176,240
  6. Step 6: Final answer
    x = 791,284.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.