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Finding the Third Proportional to 246,502 and 352,252.50

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Solution

The third proportional to 246,502 and 352,252.50 is: 503,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,502 : 352,252.50 = 352,252.50 : x
  2. Step 2: Convert to fraction form
    246,502/352,252.50 = 352,252.50/x
  3. Step 3: Cross multiply
    246,502x = 352,252.50 × 352,252.50
  4. Step 4: Simplify right side
    246,502x = 124,081,823,756.25
  5. Step 5: Solve for x
    x = 124,081,823,756.25/246,502
  6. Step 6: Final answer
    x = 503,370.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.