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Finding the Third Proportional to 174,330 and 376,308

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Solution

The third proportional to 174,330 and 376,308 is: 812,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,330 : 376,308 = 376,308 : x
  2. Step 2: Convert to fraction form
    174,330/376,308 = 376,308/x
  3. Step 3: Cross multiply
    174,330x = 376,308 × 376,308
  4. Step 4: Simplify right side
    174,330x = 141,607,710,864
  5. Step 5: Solve for x
    x = 141,607,710,864/174,330
  6. Step 6: Final answer
    x = 812,296.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.