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Finding the Third Proportional to 134,986.50 and 201,386.25

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Solution

The third proportional to 134,986.50 and 201,386.25 is: 300,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,986.50 : 201,386.25 = 201,386.25 : x
  2. Step 2: Convert to fraction form
    134,986.50/201,386.25 = 201,386.25/x
  3. Step 3: Cross multiply
    134,986.50x = 201,386.25 × 201,386.25
  4. Step 4: Simplify right side
    134,986.50x = 40,556,421,689.06
  5. Step 5: Solve for x
    x = 40,556,421,689.06/134,986.50
  6. Step 6: Final answer
    x = 300,447.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.