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Finding the Third Proportional to 172,935 and 224,410.50

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Solution

The third proportional to 172,935 and 224,410.50 is: 291,208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,935 : 224,410.50 = 224,410.50 : x
  2. Step 2: Convert to fraction form
    172,935/224,410.50 = 224,410.50/x
  3. Step 3: Cross multiply
    172,935x = 224,410.50 × 224,410.50
  4. Step 4: Simplify right side
    172,935x = 50,360,072,510.25
  5. Step 5: Solve for x
    x = 50,360,072,510.25/172,935
  6. Step 6: Final answer
    x = 291,208.10

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.