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Finding the Third Proportional to 136,948 and 296,360

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Solution

The third proportional to 136,948 and 296,360 is: 641,332.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,948 : 296,360 = 296,360 : x
  2. Step 2: Convert to fraction form
    136,948/296,360 = 296,360/x
  3. Step 3: Cross multiply
    136,948x = 296,360 × 296,360
  4. Step 4: Simplify right side
    136,948x = 87,829,249,600
  5. Step 5: Solve for x
    x = 87,829,249,600/136,948
  6. Step 6: Final answer
    x = 641,332.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.