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Finding the Third Proportional to 152,980.88 and 215,050.50

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Solution

The third proportional to 152,980.88 and 215,050.50 is: 302,303.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,980.88 : 215,050.50 = 215,050.50 : x
  2. Step 2: Convert to fraction form
    152,980.88/215,050.50 = 215,050.50/x
  3. Step 3: Cross multiply
    152,980.88x = 215,050.50 × 215,050.50
  4. Step 4: Simplify right side
    152,980.88x = 46,246,717,550.25
  5. Step 5: Solve for x
    x = 46,246,717,550.25/152,980.88
  6. Step 6: Final answer
    x = 302,303.92

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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.