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Finding the Third Proportional to 141,547.50 and 217,235.25

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Solution

The third proportional to 141,547.50 and 217,235.25 is: 333,394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,547.50 : 217,235.25 = 217,235.25 : x
  2. Step 2: Convert to fraction form
    141,547.50/217,235.25 = 217,235.25/x
  3. Step 3: Cross multiply
    141,547.50x = 217,235.25 × 217,235.25
  4. Step 4: Simplify right side
    141,547.50x = 47,191,153,842.56
  5. Step 5: Solve for x
    x = 47,191,153,842.56/141,547.50
  6. Step 6: Final answer
    x = 333,394.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.