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Finding the Third Proportional to 175,355 and 383,522

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Solution

The third proportional to 175,355 and 383,522 is: 838,807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,355 : 383,522 = 383,522 : x
  2. Step 2: Convert to fraction form
    175,355/383,522 = 383,522/x
  3. Step 3: Cross multiply
    175,355x = 383,522 × 383,522
  4. Step 4: Simplify right side
    175,355x = 147,089,124,484
  5. Step 5: Solve for x
    x = 147,089,124,484/175,355
  6. Step 6: Final answer
    x = 838,807.70

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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.