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Finding the Third Proportional to 153,024 and 215,109.75

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Solution

The third proportional to 153,024 and 215,109.75 is: 302,385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,024 : 215,109.75 = 215,109.75 : x
  2. Step 2: Convert to fraction form
    153,024/215,109.75 = 215,109.75/x
  3. Step 3: Cross multiply
    153,024x = 215,109.75 × 215,109.75
  4. Step 4: Simplify right side
    153,024x = 46,272,204,545.06
  5. Step 5: Solve for x
    x = 46,272,204,545.06/153,024
  6. Step 6: Final answer
    x = 302,385.28

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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.