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Finding the Third Proportional to 143,923.50 and 314,046

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Solution

The third proportional to 143,923.50 and 314,046 is: 685,259.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,923.50 : 314,046 = 314,046 : x
  2. Step 2: Convert to fraction form
    143,923.50/314,046 = 314,046/x
  3. Step 3: Cross multiply
    143,923.50x = 314,046 × 314,046
  4. Step 4: Simplify right side
    143,923.50x = 98,624,890,116
  5. Step 5: Solve for x
    x = 98,624,890,116/143,923.50
  6. Step 6: Final answer
    x = 685,259.11

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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.