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Finding the Third Proportional to 118,316 and 177,528

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Solution

The third proportional to 118,316 and 177,528 is: 266,373.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,316 : 177,528 = 177,528 : x
  2. Step 2: Convert to fraction form
    118,316/177,528 = 177,528/x
  3. Step 3: Cross multiply
    118,316x = 177,528 × 177,528
  4. Step 4: Simplify right side
    118,316x = 31,516,190,784
  5. Step 5: Solve for x
    x = 31,516,190,784/118,316
  6. Step 6: Final answer
    x = 266,373.02

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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.