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Finding the Third Proportional to 141,193.13 and 207,076.50

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Solution

The third proportional to 141,193.13 and 207,076.50 is: 303,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,193.13 : 207,076.50 = 207,076.50 : x
  2. Step 2: Convert to fraction form
    141,193.13/207,076.50 = 207,076.50/x
  3. Step 3: Cross multiply
    141,193.13x = 207,076.50 × 207,076.50
  4. Step 4: Simplify right side
    141,193.13x = 42,880,676,852.25
  5. Step 5: Solve for x
    x = 42,880,676,852.25/141,193.13
  6. Step 6: Final answer
    x = 303,702.30

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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.