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Finding the Third Proportional to 148,070 and 229,026

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Solution

The third proportional to 148,070 and 229,026 is: 354,244.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,070 : 229,026 = 229,026 : x
  2. Step 2: Convert to fraction form
    148,070/229,026 = 229,026/x
  3. Step 3: Cross multiply
    148,070x = 229,026 × 229,026
  4. Step 4: Simplify right side
    148,070x = 52,452,908,676
  5. Step 5: Solve for x
    x = 52,452,908,676/148,070
  6. Step 6: Final answer
    x = 354,244.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.