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Finding the Third Proportional to 115,384.50 and 249,221.75

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Solution

The third proportional to 115,384.50 and 249,221.75 is: 538,300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,384.50 : 249,221.75 = 249,221.75 : x
  2. Step 2: Convert to fraction form
    115,384.50/249,221.75 = 249,221.75/x
  3. Step 3: Cross multiply
    115,384.50x = 249,221.75 × 249,221.75
  4. Step 4: Simplify right side
    115,384.50x = 62,111,480,673.06
  5. Step 5: Solve for x
    x = 62,111,480,673.06/115,384.50
  6. Step 6: Final answer
    x = 538,300.04

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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.