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Finding the Third Proportional to 153,585 and 237,289.50

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Solution

The third proportional to 153,585 and 237,289.50 is: 366,613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,585 : 237,289.50 = 237,289.50 : x
  2. Step 2: Convert to fraction form
    153,585/237,289.50 = 237,289.50/x
  3. Step 3: Cross multiply
    153,585x = 237,289.50 × 237,289.50
  4. Step 4: Simplify right side
    153,585x = 56,306,306,810.25
  5. Step 5: Solve for x
    x = 56,306,306,810.25/153,585
  6. Step 6: Final answer
    x = 366,613.32

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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.