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Finding the Third Proportional to 145,136 and 224,176

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Solution

The third proportional to 145,136 and 224,176 is: 346,260.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,136 : 224,176 = 224,176 : x
  2. Step 2: Convert to fraction form
    145,136/224,176 = 224,176/x
  3. Step 3: Cross multiply
    145,136x = 224,176 × 224,176
  4. Step 4: Simplify right side
    145,136x = 50,254,878,976
  5. Step 5: Solve for x
    x = 50,254,878,976/145,136
  6. Step 6: Final answer
    x = 346,260.60

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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.