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Finding the Third Proportional to 242,007 and 354,673.50

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Solution

The third proportional to 242,007 and 354,673.50 is: 519,791.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,007 : 354,673.50 = 354,673.50 : x
  2. Step 2: Convert to fraction form
    242,007/354,673.50 = 354,673.50/x
  3. Step 3: Cross multiply
    242,007x = 354,673.50 × 354,673.50
  4. Step 4: Simplify right side
    242,007x = 125,793,291,602.25
  5. Step 5: Solve for x
    x = 125,793,291,602.25/242,007
  6. Step 6: Final answer
    x = 519,791.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.