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Finding the Third Proportional to 153,022.50 and 215,108.25

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Solution

The third proportional to 153,022.50 and 215,108.25 is: 302,384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,022.50 : 215,108.25 = 215,108.25 : x
  2. Step 2: Convert to fraction form
    153,022.50/215,108.25 = 215,108.25/x
  3. Step 3: Cross multiply
    153,022.50x = 215,108.25 × 215,108.25
  4. Step 4: Simplify right side
    153,022.50x = 46,271,559,218.06
  5. Step 5: Solve for x
    x = 46,271,559,218.06/153,022.50
  6. Step 6: Final answer
    x = 302,384.02

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.