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Finding the Third Proportional to 200,708.51 and 295,518.38

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Solution

The third proportional to 200,708.51 and 295,518.38 is: 435,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,708.51 : 295,518.38 = 295,518.38 : x
  2. Step 2: Convert to fraction form
    200,708.51/295,518.38 = 295,518.38/x
  3. Step 3: Cross multiply
    200,708.51x = 295,518.38 × 295,518.38
  4. Step 4: Simplify right side
    200,708.51x = 87,331,109,962.64
  5. Step 5: Solve for x
    x = 87,331,109,962.64/200,708.51
  6. Step 6: Final answer
    x = 435,114.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.