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Finding the Third Proportional to 201,258 and 296,055

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Solution

The third proportional to 201,258 and 296,055 is: 435,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,258 : 296,055 = 296,055 : x
  2. Step 2: Convert to fraction form
    201,258/296,055 = 296,055/x
  3. Step 3: Cross multiply
    201,258x = 296,055 × 296,055
  4. Step 4: Simplify right side
    201,258x = 87,648,563,025
  5. Step 5: Solve for x
    x = 87,648,563,025/201,258
  6. Step 6: Final answer
    x = 435,503.50

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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.