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Finding the Third Proportional to 153,237 and 237,874.50

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Solution

The third proportional to 153,237 and 237,874.50 is: 369,259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,237 : 237,874.50 = 237,874.50 : x
  2. Step 2: Convert to fraction form
    153,237/237,874.50 = 237,874.50/x
  3. Step 3: Cross multiply
    153,237x = 237,874.50 × 237,874.50
  4. Step 4: Simplify right side
    153,237x = 56,584,277,750.25
  5. Step 5: Solve for x
    x = 56,584,277,750.25/153,237
  6. Step 6: Final answer
    x = 369,259.89

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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.