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Finding the Third Proportional to 157,367.81 and 249,566.06

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Solution

The third proportional to 157,367.81 and 249,566.06 is: 395,781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,367.81 : 249,566.06 = 249,566.06 : x
  2. Step 2: Convert to fraction form
    157,367.81/249,566.06 = 249,566.06/x
  3. Step 3: Cross multiply
    157,367.81x = 249,566.06 × 249,566.06
  4. Step 4: Simplify right side
    157,367.81x = 62,283,219,551.75
  5. Step 5: Solve for x
    x = 62,283,219,551.75/157,367.81
  6. Step 6: Final answer
    x = 395,781.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.