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Finding the Third Proportional to 152,397 and 237,319.50

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Solution

The third proportional to 152,397 and 237,319.50 is: 369,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,397 : 237,319.50 = 237,319.50 : x
  2. Step 2: Convert to fraction form
    152,397/237,319.50 = 237,319.50/x
  3. Step 3: Cross multiply
    152,397x = 237,319.50 × 237,319.50
  4. Step 4: Simplify right side
    152,397x = 56,320,545,080.25
  5. Step 5: Solve for x
    x = 56,320,545,080.25/152,397
  6. Step 6: Final answer
    x = 369,564.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.