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Finding the Third Proportional to 153,415 and 328,153.50

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Solution

The third proportional to 153,415 and 328,153.50 is: 701,917.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,415 : 328,153.50 = 328,153.50 : x
  2. Step 2: Convert to fraction form
    153,415/328,153.50 = 328,153.50/x
  3. Step 3: Cross multiply
    153,415x = 328,153.50 × 328,153.50
  4. Step 4: Simplify right side
    153,415x = 107,684,719,562.25
  5. Step 5: Solve for x
    x = 107,684,719,562.25/153,415
  6. Step 6: Final answer
    x = 701,917.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.