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Finding the Third Proportional to 155,875 and 339,046

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Solution

The third proportional to 155,875 and 339,046 is: 737,463.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,875 : 339,046 = 339,046 : x
  2. Step 2: Convert to fraction form
    155,875/339,046 = 339,046/x
  3. Step 3: Cross multiply
    155,875x = 339,046 × 339,046
  4. Step 4: Simplify right side
    155,875x = 114,952,190,116
  5. Step 5: Solve for x
    x = 114,952,190,116/155,875
  6. Step 6: Final answer
    x = 737,463.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.