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Finding the Third Proportional to 153,218 and 233,070

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Solution

The third proportional to 153,218 and 233,070 is: 354,538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,218 : 233,070 = 233,070 : x
  2. Step 2: Convert to fraction form
    153,218/233,070 = 233,070/x
  3. Step 3: Cross multiply
    153,218x = 233,070 × 233,070
  4. Step 4: Simplify right side
    153,218x = 54,321,624,900
  5. Step 5: Solve for x
    x = 54,321,624,900/153,218
  6. Step 6: Final answer
    x = 354,538.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.