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Finding the Third Proportional to 201,893 and 295,495

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Solution

The third proportional to 201,893 and 295,495 is: 432,492.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,893 : 295,495 = 295,495 : x
  2. Step 2: Convert to fraction form
    201,893/295,495 = 295,495/x
  3. Step 3: Cross multiply
    201,893x = 295,495 × 295,495
  4. Step 4: Simplify right side
    201,893x = 87,317,295,025
  5. Step 5: Solve for x
    x = 87,317,295,025/201,893
  6. Step 6: Final answer
    x = 432,492.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.