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Finding the Third Proportional to 153,319.50 and 214,846.50

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Solution

The third proportional to 153,319.50 and 214,846.50 is: 301,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,319.50 : 214,846.50 = 214,846.50 : x
  2. Step 2: Convert to fraction form
    153,319.50/214,846.50 = 214,846.50/x
  3. Step 3: Cross multiply
    153,319.50x = 214,846.50 × 214,846.50
  4. Step 4: Simplify right side
    153,319.50x = 46,159,018,562.25
  5. Step 5: Solve for x
    x = 46,159,018,562.25/153,319.50
  6. Step 6: Final answer
    x = 301,064.24

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.