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Finding the Third Proportional to 153,850 and 332,303

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Solution

The third proportional to 153,850 and 332,303 is: 717,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,850 : 332,303 = 332,303 : x
  2. Step 2: Convert to fraction form
    153,850/332,303 = 332,303/x
  3. Step 3: Cross multiply
    153,850x = 332,303 × 332,303
  4. Step 4: Simplify right side
    153,850x = 110,425,283,809
  5. Step 5: Solve for x
    x = 110,425,283,809/153,850
  6. Step 6: Final answer
    x = 717,746.40

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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.