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Finding the Third Proportional to 153,335 and 329,998

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Solution

The third proportional to 153,335 and 329,998 is: 710,201.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,335 : 329,998 = 329,998 : x
  2. Step 2: Convert to fraction form
    153,335/329,998 = 329,998/x
  3. Step 3: Cross multiply
    153,335x = 329,998 × 329,998
  4. Step 4: Simplify right side
    153,335x = 108,898,680,004
  5. Step 5: Solve for x
    x = 108,898,680,004/153,335
  6. Step 6: Final answer
    x = 710,201.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.