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Finding the Third Proportional to 153,397.55 and 215,334.07

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Solution

The third proportional to 153,397.55 and 215,334.07 is: 302,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,397.55 : 215,334.07 = 215,334.07 : x
  2. Step 2: Convert to fraction form
    153,397.55/215,334.07 = 215,334.07/x
  3. Step 3: Cross multiply
    153,397.55x = 215,334.07 × 215,334.07
  4. Step 4: Simplify right side
    153,397.55x = 46,368,761,837.35
  5. Step 5: Solve for x
    x = 46,368,761,837.35/153,397.55
  6. Step 6: Final answer
    x = 302,278.38

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.