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Finding the Third Proportional to 163,901.81 and 253,130.06

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Solution

The third proportional to 163,901.81 and 253,130.06 is: 390,934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,901.81 : 253,130.06 = 253,130.06 : x
  2. Step 2: Convert to fraction form
    163,901.81/253,130.06 = 253,130.06/x
  3. Step 3: Cross multiply
    163,901.81x = 253,130.06 × 253,130.06
  4. Step 4: Simplify right side
    163,901.81x = 64,074,828,541.25
  5. Step 5: Solve for x
    x = 64,074,828,541.25/163,901.81
  6. Step 6: Final answer
    x = 390,934.23

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.