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Finding the Third Proportional to 153,160 and 235,360

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Solution

The third proportional to 153,160 and 235,360 is: 361,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,160 : 235,360 = 235,360 : x
  2. Step 2: Convert to fraction form
    153,160/235,360 = 235,360/x
  3. Step 3: Cross multiply
    153,160x = 235,360 × 235,360
  4. Step 4: Simplify right side
    153,160x = 55,394,329,600
  5. Step 5: Solve for x
    x = 55,394,329,600/153,160
  6. Step 6: Final answer
    x = 361,676.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.