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Finding the Third Proportional to 141,521 and 209,041.50

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Solution

The third proportional to 141,521 and 209,041.50 is: 308,776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,521 : 209,041.50 = 209,041.50 : x
  2. Step 2: Convert to fraction form
    141,521/209,041.50 = 209,041.50/x
  3. Step 3: Cross multiply
    141,521x = 209,041.50 × 209,041.50
  4. Step 4: Simplify right side
    141,521x = 43,698,348,722.25
  5. Step 5: Solve for x
    x = 43,698,348,722.25/141,521
  6. Step 6: Final answer
    x = 308,776.43

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.