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Finding the Third Proportional to 153,030.75 and 215,118

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Solution

The third proportional to 153,030.75 and 215,118 is: 302,395.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,030.75 : 215,118 = 215,118 : x
  2. Step 2: Convert to fraction form
    153,030.75/215,118 = 215,118/x
  3. Step 3: Cross multiply
    153,030.75x = 215,118 × 215,118
  4. Step 4: Simplify right side
    153,030.75x = 46,275,753,924
  5. Step 5: Solve for x
    x = 46,275,753,924/153,030.75
  6. Step 6: Final answer
    x = 302,395.13

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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.