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Finding the Third Proportional to 229,036 and 346,066

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Solution

The third proportional to 229,036 and 346,066 is: 522,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,036 : 346,066 = 346,066 : x
  2. Step 2: Convert to fraction form
    229,036/346,066 = 346,066/x
  3. Step 3: Cross multiply
    229,036x = 346,066 × 346,066
  4. Step 4: Simplify right side
    229,036x = 119,761,676,356
  5. Step 5: Solve for x
    x = 119,761,676,356/229,036
  6. Step 6: Final answer
    x = 522,894.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.