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Finding the Third Proportional to 118,416 and 243,528

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Solution

The third proportional to 118,416 and 243,528 is: 500,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,416 : 243,528 = 243,528 : x
  2. Step 2: Convert to fraction form
    118,416/243,528 = 243,528/x
  3. Step 3: Cross multiply
    118,416x = 243,528 × 243,528
  4. Step 4: Simplify right side
    118,416x = 59,305,886,784
  5. Step 5: Solve for x
    x = 59,305,886,784/118,416
  6. Step 6: Final answer
    x = 500,826.63

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.