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Finding the Third Proportional to 152,985 and 215,055.75

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Solution

The third proportional to 152,985 and 215,055.75 is: 302,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,985 : 215,055.75 = 215,055.75 : x
  2. Step 2: Convert to fraction form
    152,985/215,055.75 = 215,055.75/x
  3. Step 3: Cross multiply
    152,985x = 215,055.75 × 215,055.75
  4. Step 4: Simplify right side
    152,985x = 46,248,975,608.06
  5. Step 5: Solve for x
    x = 46,248,975,608.06/152,985
  6. Step 6: Final answer
    x = 302,310.52

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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.