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Finding the Third Proportional to 175,346.50 and 383,495

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Solution

The third proportional to 175,346.50 and 383,495 is: 838,730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,346.50 : 383,495 = 383,495 : x
  2. Step 2: Convert to fraction form
    175,346.50/383,495 = 383,495/x
  3. Step 3: Cross multiply
    175,346.50x = 383,495 × 383,495
  4. Step 4: Simplify right side
    175,346.50x = 147,068,415,025
  5. Step 5: Solve for x
    x = 147,068,415,025/175,346.50
  6. Step 6: Final answer
    x = 838,730.26

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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.