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Finding the Third Proportional to 118,212 and 177,316

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Solution

The third proportional to 118,212 and 177,316 is: 265,971.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,212 : 177,316 = 177,316 : x
  2. Step 2: Convert to fraction form
    118,212/177,316 = 177,316/x
  3. Step 3: Cross multiply
    118,212x = 177,316 × 177,316
  4. Step 4: Simplify right side
    118,212x = 31,440,963,856
  5. Step 5: Solve for x
    x = 31,440,963,856/118,212
  6. Step 6: Final answer
    x = 265,971.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.