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Finding the Third Proportional to 233,440 and 362,160

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Solution

The third proportional to 233,440 and 362,160 is: 561,856.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,440 : 362,160 = 362,160 : x
  2. Step 2: Convert to fraction form
    233,440/362,160 = 362,160/x
  3. Step 3: Cross multiply
    233,440x = 362,160 × 362,160
  4. Step 4: Simplify right side
    233,440x = 131,159,865,600
  5. Step 5: Solve for x
    x = 131,159,865,600/233,440
  6. Step 6: Final answer
    x = 561,856.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.