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Finding the Third Proportional to 183,838 and 294,953

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Solution

The third proportional to 183,838 and 294,953 is: 473,227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,838 : 294,953 = 294,953 : x
  2. Step 2: Convert to fraction form
    183,838/294,953 = 294,953/x
  3. Step 3: Cross multiply
    183,838x = 294,953 × 294,953
  4. Step 4: Simplify right side
    183,838x = 86,997,272,209
  5. Step 5: Solve for x
    x = 86,997,272,209/183,838
  6. Step 6: Final answer
    x = 473,227.91

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.