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Finding the Third Proportional to 153,260 and 228,952

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Solution

The third proportional to 153,260 and 228,952 is: 342,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,260 : 228,952 = 228,952 : x
  2. Step 2: Convert to fraction form
    153,260/228,952 = 228,952/x
  3. Step 3: Cross multiply
    153,260x = 228,952 × 228,952
  4. Step 4: Simplify right side
    153,260x = 52,419,018,304
  5. Step 5: Solve for x
    x = 52,419,018,304/153,260
  6. Step 6: Final answer
    x = 342,026.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.