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Finding the Third Proportional to 163,008 and 242,784

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Solution

The third proportional to 163,008 and 242,784 is: 361,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,008 : 242,784 = 242,784 : x
  2. Step 2: Convert to fraction form
    163,008/242,784 = 242,784/x
  3. Step 3: Cross multiply
    163,008x = 242,784 × 242,784
  4. Step 4: Simplify right side
    163,008x = 58,944,070,656
  5. Step 5: Solve for x
    x = 58,944,070,656/163,008
  6. Step 6: Final answer
    x = 361,602.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.