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Finding the Third Proportional to 201,547.50 and 439,935

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Solution

The third proportional to 201,547.50 and 439,935 is: 960,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,547.50 : 439,935 = 439,935 : x
  2. Step 2: Convert to fraction form
    201,547.50/439,935 = 439,935/x
  3. Step 3: Cross multiply
    201,547.50x = 439,935 × 439,935
  4. Step 4: Simplify right side
    201,547.50x = 193,542,804,225
  5. Step 5: Solve for x
    x = 193,542,804,225/201,547.50
  6. Step 6: Final answer
    x = 960,283.83

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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.