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Finding the Third Proportional to 145,503.84 and 224,759.81

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Solution

The third proportional to 145,503.84 and 224,759.81 is: 347,186.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,503.84 : 224,759.81 = 224,759.81 : x
  2. Step 2: Convert to fraction form
    145,503.84/224,759.81 = 224,759.81/x
  3. Step 3: Cross multiply
    145,503.84x = 224,759.81 × 224,759.81
  4. Step 4: Simplify right side
    145,503.84x = 50,516,973,315.04
  5. Step 5: Solve for x
    x = 50,516,973,315.04/145,503.84
  6. Step 6: Final answer
    x = 347,186.52

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Why These Related Problems?

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