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Finding the Third Proportional to 119,322 and 257,326.50

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Solution

The third proportional to 119,322 and 257,326.50 is: 554,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,322 : 257,326.50 = 257,326.50 : x
  2. Step 2: Convert to fraction form
    119,322/257,326.50 = 257,326.50/x
  3. Step 3: Cross multiply
    119,322x = 257,326.50 × 257,326.50
  4. Step 4: Simplify right side
    119,322x = 66,216,927,602.25
  5. Step 5: Solve for x
    x = 66,216,927,602.25/119,322
  6. Step 6: Final answer
    x = 554,943.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.