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Finding the Third Proportional to 128,220 and 233,294

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Solution

The third proportional to 128,220 and 233,294 is: 424,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,220 : 233,294 = 233,294 : x
  2. Step 2: Convert to fraction form
    128,220/233,294 = 233,294/x
  3. Step 3: Cross multiply
    128,220x = 233,294 × 233,294
  4. Step 4: Simplify right side
    128,220x = 54,426,090,436
  5. Step 5: Solve for x
    x = 54,426,090,436/128,220
  6. Step 6: Final answer
    x = 424,474.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.