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Finding the Third Proportional to 141,965 and 312,735

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Solution

The third proportional to 141,965 and 312,735 is: 688,924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,965 : 312,735 = 312,735 : x
  2. Step 2: Convert to fraction form
    141,965/312,735 = 312,735/x
  3. Step 3: Cross multiply
    141,965x = 312,735 × 312,735
  4. Step 4: Simplify right side
    141,965x = 97,803,180,225
  5. Step 5: Solve for x
    x = 97,803,180,225/141,965
  6. Step 6: Final answer
    x = 688,924.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.