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Finding the Third Proportional to 175,562 and 384,550

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Solution

The third proportional to 175,562 and 384,550 is: 842,316.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,562 : 384,550 = 384,550 : x
  2. Step 2: Convert to fraction form
    175,562/384,550 = 384,550/x
  3. Step 3: Cross multiply
    175,562x = 384,550 × 384,550
  4. Step 4: Simplify right side
    175,562x = 147,878,702,500
  5. Step 5: Solve for x
    x = 147,878,702,500/175,562
  6. Step 6: Final answer
    x = 842,316.12

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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.