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Finding the Third Proportional to 176,242 and 251,240

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Solution

The third proportional to 176,242 and 251,240 is: 358,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,242 : 251,240 = 251,240 : x
  2. Step 2: Convert to fraction form
    176,242/251,240 = 251,240/x
  3. Step 3: Cross multiply
    176,242x = 251,240 × 251,240
  4. Step 4: Simplify right side
    176,242x = 63,121,537,600
  5. Step 5: Solve for x
    x = 63,121,537,600/176,242
  6. Step 6: Final answer
    x = 358,152.64

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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.