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Finding the Third Proportional to 145,284 and 200,070

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Solution

The third proportional to 145,284 and 200,070 is: 275,515.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,284 : 200,070 = 200,070 : x
  2. Step 2: Convert to fraction form
    145,284/200,070 = 200,070/x
  3. Step 3: Cross multiply
    145,284x = 200,070 × 200,070
  4. Step 4: Simplify right side
    145,284x = 40,028,004,900
  5. Step 5: Solve for x
    x = 40,028,004,900/145,284
  6. Step 6: Final answer
    x = 275,515.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.