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Finding the Third Proportional to 245,850 and 371,024

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Solution

The third proportional to 245,850 and 371,024 is: 559,930.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,850 : 371,024 = 371,024 : x
  2. Step 2: Convert to fraction form
    245,850/371,024 = 371,024/x
  3. Step 3: Cross multiply
    245,850x = 371,024 × 371,024
  4. Step 4: Simplify right side
    245,850x = 137,658,808,576
  5. Step 5: Solve for x
    x = 137,658,808,576/245,850
  6. Step 6: Final answer
    x = 559,930.07

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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.