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Finding the Third Proportional to 245,848 and 371,014

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Solution

The third proportional to 245,848 and 371,014 is: 559,904.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,848 : 371,014 = 371,014 : x
  2. Step 2: Convert to fraction form
    245,848/371,014 = 371,014/x
  3. Step 3: Cross multiply
    245,848x = 371,014 × 371,014
  4. Step 4: Simplify right side
    245,848x = 137,651,388,196
  5. Step 5: Solve for x
    x = 137,651,388,196/245,848
  6. Step 6: Final answer
    x = 559,904.45

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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.