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Finding the Third Proportional to 145,590 and 320,448

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Solution

The third proportional to 145,590 and 320,448 is: 705,315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,590 : 320,448 = 320,448 : x
  2. Step 2: Convert to fraction form
    145,590/320,448 = 320,448/x
  3. Step 3: Cross multiply
    145,590x = 320,448 × 320,448
  4. Step 4: Simplify right side
    145,590x = 102,686,920,704
  5. Step 5: Solve for x
    x = 102,686,920,704/145,590
  6. Step 6: Final answer
    x = 705,315.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.