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Finding the Third Proportional to 153,994 and 230,362

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Solution

The third proportional to 153,994 and 230,362 is: 344,602.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,994 : 230,362 = 230,362 : x
  2. Step 2: Convert to fraction form
    153,994/230,362 = 230,362/x
  3. Step 3: Cross multiply
    153,994x = 230,362 × 230,362
  4. Step 4: Simplify right side
    153,994x = 53,066,651,044
  5. Step 5: Solve for x
    x = 53,066,651,044/153,994
  6. Step 6: Final answer
    x = 344,602.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.