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Finding the Third Proportional to 249,901.50 and 536,739

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Solution

The third proportional to 249,901.50 and 536,739 is: 1,152,809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,901.50 : 536,739 = 536,739 : x
  2. Step 2: Convert to fraction form
    249,901.50/536,739 = 536,739/x
  3. Step 3: Cross multiply
    249,901.50x = 536,739 × 536,739
  4. Step 4: Simplify right side
    249,901.50x = 288,088,754,121
  5. Step 5: Solve for x
    x = 288,088,754,121/249,901.50
  6. Step 6: Final answer
    x = 1,152,809.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.