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Finding the Third Proportional to 175,159.34 and 383,035.39

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Solution

The third proportional to 175,159.34 and 383,035.39 is: 837,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,159.34 : 383,035.39 = 383,035.39 : x
  2. Step 2: Convert to fraction form
    175,159.34/383,035.39 = 383,035.39/x
  3. Step 3: Cross multiply
    175,159.34x = 383,035.39 × 383,035.39
  4. Step 4: Simplify right side
    175,159.34x = 146,716,113,463.71
  5. Step 5: Solve for x
    x = 146,716,113,463.71/175,159.34
  6. Step 6: Final answer
    x = 837,615.15

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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.