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Finding the Third Proportional to 233,178 and 348,322.50

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Solution

The third proportional to 233,178 and 348,322.50 is: 520,325.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,178 : 348,322.50 = 348,322.50 : x
  2. Step 2: Convert to fraction form
    233,178/348,322.50 = 348,322.50/x
  3. Step 3: Cross multiply
    233,178x = 348,322.50 × 348,322.50
  4. Step 4: Simplify right side
    233,178x = 121,328,564,006.25
  5. Step 5: Solve for x
    x = 121,328,564,006.25/233,178
  6. Step 6: Final answer
    x = 520,325.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.