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Finding the Third Proportional to 164,116.13 and 249,547.08

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Solution

The third proportional to 164,116.13 and 249,547.08 is: 379,449.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,116.13 : 249,547.08 = 249,547.08 : x
  2. Step 2: Convert to fraction form
    164,116.13/249,547.08 = 249,547.08/x
  3. Step 3: Cross multiply
    164,116.13x = 249,547.08 × 249,547.08
  4. Step 4: Simplify right side
    164,116.13x = 62,273,744,200.72
  5. Step 5: Solve for x
    x = 62,273,744,200.72/164,116.13
  6. Step 6: Final answer
    x = 379,449.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.