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Finding the Third Proportional to 153,021 and 237,514.50

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Solution

The third proportional to 153,021 and 237,514.50 is: 368,662.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,021 : 237,514.50 = 237,514.50 : x
  2. Step 2: Convert to fraction form
    153,021/237,514.50 = 237,514.50/x
  3. Step 3: Cross multiply
    153,021x = 237,514.50 × 237,514.50
  4. Step 4: Simplify right side
    153,021x = 56,413,137,710.25
  5. Step 5: Solve for x
    x = 56,413,137,710.25/153,021
  6. Step 6: Final answer
    x = 368,662.72

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