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Finding the Third Proportional to 160,416 and 224,264.25

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Solution

The third proportional to 160,416 and 224,264.25 is: 313,525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,416 : 224,264.25 = 224,264.25 : x
  2. Step 2: Convert to fraction form
    160,416/224,264.25 = 224,264.25/x
  3. Step 3: Cross multiply
    160,416x = 224,264.25 × 224,264.25
  4. Step 4: Simplify right side
    160,416x = 50,294,453,828.06
  5. Step 5: Solve for x
    x = 50,294,453,828.06/160,416
  6. Step 6: Final answer
    x = 313,525.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.