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Finding the Third Proportional to 175,308 and 383,787

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Solution

The third proportional to 175,308 and 383,787 is: 840,192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,308 : 383,787 = 383,787 : x
  2. Step 2: Convert to fraction form
    175,308/383,787 = 383,787/x
  3. Step 3: Cross multiply
    175,308x = 383,787 × 383,787
  4. Step 4: Simplify right side
    175,308x = 147,292,461,369
  5. Step 5: Solve for x
    x = 147,292,461,369/175,308
  6. Step 6: Final answer
    x = 840,192.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.