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Finding the Third Proportional to 201,955.78 and 316,875.80

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Solution

The third proportional to 201,955.78 and 316,875.80 is: 497,189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,955.78 : 316,875.80 = 316,875.80 : x
  2. Step 2: Convert to fraction form
    201,955.78/316,875.80 = 316,875.80/x
  3. Step 3: Cross multiply
    201,955.78x = 316,875.80 × 316,875.80
  4. Step 4: Simplify right side
    201,955.78x = 100,410,270,645.17
  5. Step 5: Solve for x
    x = 100,410,270,645.17/201,955.78
  6. Step 6: Final answer
    x = 497,189.38

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.