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Finding the Third Proportional to 153,510 and 215,866.50

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Solution

The third proportional to 153,510 and 215,866.50 is: 303,552.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,510 : 215,866.50 = 215,866.50 : x
  2. Step 2: Convert to fraction form
    153,510/215,866.50 = 215,866.50/x
  3. Step 3: Cross multiply
    153,510x = 215,866.50 × 215,866.50
  4. Step 4: Simplify right side
    153,510x = 46,598,345,822.25
  5. Step 5: Solve for x
    x = 46,598,345,822.25/153,510
  6. Step 6: Final answer
    x = 303,552.51

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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.