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Finding the Third Proportional to 249,547.50 and 349,247.25

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Solution

The third proportional to 249,547.50 and 349,247.25 is: 488,779.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,547.50 : 349,247.25 = 349,247.25 : x
  2. Step 2: Convert to fraction form
    249,547.50/349,247.25 = 349,247.25/x
  3. Step 3: Cross multiply
    249,547.50x = 349,247.25 × 349,247.25
  4. Step 4: Simplify right side
    249,547.50x = 121,973,641,632.56
  5. Step 5: Solve for x
    x = 121,973,641,632.56/249,547.50
  6. Step 6: Final answer
    x = 488,779.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.