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Finding the Third Proportional to 153,030 and 333,166

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Solution

The third proportional to 153,030 and 333,166 is: 725,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,030 : 333,166 = 333,166 : x
  2. Step 2: Convert to fraction form
    153,030/333,166 = 333,166/x
  3. Step 3: Cross multiply
    153,030x = 333,166 × 333,166
  4. Step 4: Simplify right side
    153,030x = 110,999,583,556
  5. Step 5: Solve for x
    x = 110,999,583,556/153,030
  6. Step 6: Final answer
    x = 725,345.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.