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Finding the Third Proportional to 145,188 and 224,316

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Solution

The third proportional to 145,188 and 224,316 is: 346,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,188 : 224,316 = 224,316 : x
  2. Step 2: Convert to fraction form
    145,188/224,316 = 224,316/x
  3. Step 3: Cross multiply
    145,188x = 224,316 × 224,316
  4. Step 4: Simplify right side
    145,188x = 50,317,667,856
  5. Step 5: Solve for x
    x = 50,317,667,856/145,188
  6. Step 6: Final answer
    x = 346,569.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.