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Finding the Third Proportional to 145,820.25 and 224,949.38

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Solution

The third proportional to 145,820.25 and 224,949.38 is: 347,017.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,820.25 : 224,949.38 = 224,949.38 : x
  2. Step 2: Convert to fraction form
    145,820.25/224,949.38 = 224,949.38/x
  3. Step 3: Cross multiply
    145,820.25x = 224,949.38 × 224,949.38
  4. Step 4: Simplify right side
    145,820.25x = 50,602,221,312.89
  5. Step 5: Solve for x
    x = 50,602,221,312.89/145,820.25
  6. Step 6: Final answer
    x = 347,017.79

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.