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Finding the Third Proportional to 153,444 and 233,370

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Solution

The third proportional to 153,444 and 233,370 is: 354,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,444 : 233,370 = 233,370 : x
  2. Step 2: Convert to fraction form
    153,444/233,370 = 233,370/x
  3. Step 3: Cross multiply
    153,444x = 233,370 × 233,370
  4. Step 4: Simplify right side
    153,444x = 54,461,556,900
  5. Step 5: Solve for x
    x = 54,461,556,900/153,444
  6. Step 6: Final answer
    x = 354,927.90

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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.