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Finding the Third Proportional to 141,352.88 and 307,636.50

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Solution

The third proportional to 141,352.88 and 307,636.50 is: 669,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,352.88 : 307,636.50 = 307,636.50 : x
  2. Step 2: Convert to fraction form
    141,352.88/307,636.50 = 307,636.50/x
  3. Step 3: Cross multiply
    141,352.88x = 307,636.50 × 307,636.50
  4. Step 4: Simplify right side
    141,352.88x = 94,640,216,132.25
  5. Step 5: Solve for x
    x = 94,640,216,132.25/141,352.88
  6. Step 6: Final answer
    x = 669,531.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.