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Finding the Third Proportional to 153,255 and 237,854

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Solution

The third proportional to 153,255 and 237,854 is: 369,152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,255 : 237,854 = 237,854 : x
  2. Step 2: Convert to fraction form
    153,255/237,854 = 237,854/x
  3. Step 3: Cross multiply
    153,255x = 237,854 × 237,854
  4. Step 4: Simplify right side
    153,255x = 56,574,525,316
  5. Step 5: Solve for x
    x = 56,574,525,316/153,255
  6. Step 6: Final answer
    x = 369,152.88

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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.