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Finding the Third Proportional to 136,970 and 294,310

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Solution

The third proportional to 136,970 and 294,310 is: 632,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,970 : 294,310 = 294,310 : x
  2. Step 2: Convert to fraction form
    136,970/294,310 = 294,310/x
  3. Step 3: Cross multiply
    136,970x = 294,310 × 294,310
  4. Step 4: Simplify right side
    136,970x = 86,618,376,100
  5. Step 5: Solve for x
    x = 86,618,376,100/136,970
  6. Step 6: Final answer
    x = 632,389.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.