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Finding the Third Proportional to 152,987.63 and 215,058.38

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Solution

The third proportional to 152,987.63 and 215,058.38 is: 302,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,987.63 : 215,058.38 = 215,058.38 : x
  2. Step 2: Convert to fraction form
    152,987.63/215,058.38 = 215,058.38/x
  3. Step 3: Cross multiply
    152,987.63x = 215,058.38 × 215,058.38
  4. Step 4: Simplify right side
    152,987.63x = 46,250,104,657.64
  5. Step 5: Solve for x
    x = 46,250,104,657.64/152,987.63
  6. Step 6: Final answer
    x = 302,312.72

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Why These Related Problems?

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