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Finding the Third Proportional to 245,859 and 371,050

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Solution

The third proportional to 245,859 and 371,050 is: 559,988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,859 : 371,050 = 371,050 : x
  2. Step 2: Convert to fraction form
    245,859/371,050 = 371,050/x
  3. Step 3: Cross multiply
    245,859x = 371,050 × 371,050
  4. Step 4: Simplify right side
    245,859x = 137,678,102,500
  5. Step 5: Solve for x
    x = 137,678,102,500/245,859
  6. Step 6: Final answer
    x = 559,988.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.