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Finding the Third Proportional to 134,282 and 294,385

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Solution

The third proportional to 134,282 and 294,385 is: 645,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,282 : 294,385 = 294,385 : x
  2. Step 2: Convert to fraction form
    134,282/294,385 = 294,385/x
  3. Step 3: Cross multiply
    134,282x = 294,385 × 294,385
  4. Step 4: Simplify right side
    134,282x = 86,662,528,225
  5. Step 5: Solve for x
    x = 86,662,528,225/134,282
  6. Step 6: Final answer
    x = 645,377.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.