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Finding the Third Proportional to 176,875.50 and 250,036.50

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Solution

The third proportional to 176,875.50 and 250,036.50 is: 353,459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,875.50 : 250,036.50 = 250,036.50 : x
  2. Step 2: Convert to fraction form
    176,875.50/250,036.50 = 250,036.50/x
  3. Step 3: Cross multiply
    176,875.50x = 250,036.50 × 250,036.50
  4. Step 4: Simplify right side
    176,875.50x = 62,518,251,332.25
  5. Step 5: Solve for x
    x = 62,518,251,332.25/176,875.50
  6. Step 6: Final answer
    x = 353,459.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.