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Finding the Third Proportional to 143,565.75 and 303,547.50

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Solution

The third proportional to 143,565.75 and 303,547.50 is: 641,804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,565.75 : 303,547.50 = 303,547.50 : x
  2. Step 2: Convert to fraction form
    143,565.75/303,547.50 = 303,547.50/x
  3. Step 3: Cross multiply
    143,565.75x = 303,547.50 × 303,547.50
  4. Step 4: Simplify right side
    143,565.75x = 92,141,084,756.25
  5. Step 5: Solve for x
    x = 92,141,084,756.25/143,565.75
  6. Step 6: Final answer
    x = 641,804.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.